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Call number: | 9783319510347:ONLINE Show nearby items on shelf |
Title: | Network Games, Control, and Optimization Proceedings of NETGCOOP 2016, Avignon, France |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (XIV, 234 p. 49 illus., 38 illus. in color p.) |
Contents: | Altman, E., Jain, A., Hayel, Y., Finite Improvement Property in a Stochastic Game Arising in Competition over Popularity in Social Networks -- Altman, E., Jain, A., Shimkin, N., Touati, C., Overview on Dynamic Games for Analyzing |
Competition in the Internet and in Online Social Networks -- Altman, E., Touati, C., Load Balancing Congestion Games and their Asymptotic Behavior -- Bachmann, I., Morales, F., Silva, A., Bustos-Jimenez, J., Go-Index: Applying Supply | |
Networks Principles as Internet Robustness Metrics -- Belhadj Amor, S., Perlaza, S., Decentralized K-User Gaussian Multiple Access Channels -- Berri, S., Varma, V., Lasaulce, S., Radjef, M., Correlated Equilibria in Wireless Power | |
Control Games -- Chorppath, A., Zappone, A., Jorswieck, E., Alpcan, T., An Energy-Efficiency Game in Relay-Assisted D2D Networks with Malicious Devices -- Courcoubetis, C., Dimakis, A., Kanakakis, M., Minimally Intrusive Server | |
Policies for Background Data Transfers -- De Pellegrini, F., Massaro, A., Goratti, L., Rachid, E., Bounded Generalized Kelly Mechanism for Multi-Tenant Caching in Mobile Edge Clouds -- Douros, V., Toumpis, S., Polyzos, G., Power | |
Control and Bargaining for Cellular Operator Revenue Increase under Licensed Spectrum Sharing -- Grammatico, S., An Incentive Mechanism for Agents Playing Competitive Aggregative Games -- Hamidouche, K., Saad, W., Debbah, M., | |
Multi-Games for LTE and WiFi Coexistence over Unlicensed Channels -- Hasan, C., Marina, M., Energy-Efficient User Association in Broadcast Transmission -- Ju, M., Zhou, F., Xiao, S., Torres-Moreno, J., Spectrum Shared p-Cycle Design in | |
Elastic Optical Networks with/without Spectrum Conversion Capabilities -- Chaitanya, A., Mukherji, U., Sharma, V., Learning Equilibria of a Stochastic Game on Gaussian Interference Channels with Incomplete Information -- Legenvre, F., | |
Altman, E., Hayal, Y., Potential Game Approach to Virus Attack in Network General Topology -- Marcastel, A., Belmega, E., Mertikopoulos, P., Fijalkow, I., Interfernce Mitigation via Pricing in Time-Varying Cognitive Radio Systems -- | |
Silva, A., Opinion Manipulation in Social Networks -- Taynitskiy, V., Gubar, E., Zhu, Q., Optimal Security Policy for Protection against Heterogeneous Malware -- Wu, H., Zhou, F., Zhu, Z., Chen, Y., An Experimental Comparison of | |
Routing and Spectrum Assignment Algorithms in Elastic Optical Networks -- Zhang, C., Varma, V., Lasaulce, S., Robust Power Modulation for Channel State Information Exchange | |
ISBN: | 9783319510347 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Computer science , Game theory , System theory , Computer mathematics , Applied mathematics , Engineering mathematics , Mathematics , Game Theory, Economics, Social and Behav. Sciences , Systems Theory, Control , Mathematical Applications in Computer Science , Math Applications in Computer Science , Appl.Mathematics/Computational Methods of Engineering |
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Call number: | 9783319470795:ONLINE Show nearby items on shelf |
Title: | Recent Trends in Operator Theory and Partial Differential Equations The Roland Duduchava Anniversary Volume |
Author(s): | |
Date: | 2017 |
Size: | 1 online resource (XVIII, 300 p. 24 illus., 22 illus. in color p.) |
Contents: | Roland Duduchava -- The Duduchava-Roch formula -- Convolution Type Operators with Symmetry in Bessel Potential Spaces -- On Symmetries of the Feinberg-Zee Random Hopping Matrix -- Inequalities of Babuška-Aziz and Friedrichs-Velte for |
differential forms -- High Frequency Oscillations of first Eigenmodes in Axisymmetric shells as the thickness tends to zero -- Kernels of Wiener-Hopf plus Hankel operators with matching generating functions -- Spline Galerkin methods | |
for the double layer potential equations on contours with corners -- C*-algebras of Bergman Type Operators with Piecewise Continuous Coefficients over Bounded Polygonal Domains -- Solvability and Lyapunov stability of a two-component | |
system of generalized Poisson-Nernst-Planck equations -- A local uniqueness result for a quasi-linear heat transmission problem in a periodic two-phase dilute composite -- The method of potential operators for anisotropic Helmholtz | |
operators on domains with smooth unbounded boundaries -- Gabor Analysis for Schrödinger Equations and Propagation of Singularities -- Commutative algebras of Toeplitz operators on a Siegel domain associated with the nilpotent group of | |
its biholomorphisms | |
ISBN: | 9783319470795 |
Series: | eBooks |
Series: | Springer eBooks |
Series: | Springer 2017 package |
Keywords: | Mathematics , Integral equations , Operator theory , Partial differential equations , Numerical analysis , Mathematics , Operator Theory , Partial Differential Equations , Integral Equations , Numerical Analysis |
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Call number: | TK7872.M25I33::2004 Show nearby items on shelf |
Title: | Engineering electromagnetics |
Author(s): |
Nathan Ida |
Date: | 2004 |
Edition: | 2nd ed. |
Publisher: | New York : Springer |
Size: | 1235 p |
Contents: | Vector algebra -- Vector calculus -- Coulomb's law and the electric field -- Gauss's law and the electric potential -- Boundary value problems : analytic methods of solution -- Boundary value problems : numerical (approximate) methods -- The steady electric current -- The static magnetic field -- Magnetic materials and properties -- Faraday's law and induction -- Maxwell's equations -- Electromagnetic waves and propagation -- Reflection and transmission of plane waves -- Theory of transmission lines -- The Smith chart, impedance matching, and transmission line circuits -- Transients on transmission lines -- Waveguides and resonators |
ISBN: | 0387201564 |
Keywords: | Electromagnetic devices, Mathematical models. , Electromagnetism, Mathematics. , Electromagnetic devices, Mathematical models. , Electromagnetism, Mathematics. |
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Location: | MAIN |
Call number: | SPRINGER-2016-9783319335964:ONLINE Show nearby items on shelf |
Title: | The Parabolic Anderson Model Random Walk in Random Potential |
Author(s): |
Wolfgang König |
Date: | 2016 |
Size: | 1 online resource (192 p.) |
Note: | 10.1007/978-3-319-33596-4 |
Contents: | 1 Background, model and questions -- 2 Tools and concepts -- 3 Moment asymptotics for the total mass -- 4 Some proof techniques -- 5 Almost sure asymptotics for the total mass -- 6 Strong intermittency -- 7 Refined questions -- 8 Time-dependent pot entials |
ISBN: | 9783319335964 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Mathematical physics , Probabilities , Physics , Mathematics , Probability Theory and Stochastic Processes , Mathematical Applications in the Physical Sciences , Mathematical Methods in Physics |
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Call number: | SPRINGER-2016-9783319305158:ONLINE Show nearby items on shelf |
Title: | Search Techniques in Intelligent Classification Systems |
Author(s): |
Andrey V Savchenko |
Date: | 2016 |
Size: | 1 online resource (19 p.) |
Note: | 10.1007/978-3-319-30515-8 |
Contents: | 1.Intelligent Classification Systems -- 2. Statistical Classification of Audiovisual Data -- 3. Hierarchical Intelligent Classification Systems -- 4. Approximate Nearest Neighbor Search in Intelligent Classification Systems -- 5. Search in Voice Co ntrol Systems -- 6. Conclusion. |
ISBN: | 9783319305158 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Pattern recognition , Potential theory (Mathematics) , System theory , Mathematical optimization , Machinery , Mathematics , Optimization , Pattern Recognition , Machinery and Machine Elements , Systems Theory, Control , Complex Systems , Potential Theory |
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Call number: | SPRINGER-2016-9783319284439:ONLINE Show nearby items on shelf |
Title: | Computational Analysis AMAT, Ankara, May 2015 Selected Contributions |
Author(s): | |
Date: | 2016 |
Size: | 1 online resource (396 p.) |
Note: | 10.1007/978-3-319-28443-9 |
Contents: | Bivariate Left Fractional Pseudo-Polynomial Monotone Approximation (Anastassiou, G.A.) -- Bivariate Right Fractional Polynomial Monotone Approximation (Anastassiou, G.A.) -- Uniform Approximation with Rates by Multivariate Generalized Discrete Singu lar Operators (Anastassiou, G.A. & Kester, M.) -- Summation Process by Max-Product Operators (Gökçer, T.Y. & Duman, O.) -- Fixed Point in a Non-Metrizable Space (Tallafha, A. & Alhihi, S.A.) -- Second Hankel Determinant for New Subclass Defined by a Lin ear Operator (Amer, A.A.) -- Some Asymptotics for Extremal Polynomials (Alpan, G., Goncharov, A. & Hatinoglu, B.) -- Some Differential Subordinations Using Ruscheweyh Derivative and a Multiplier Transformation (Lupas, A.A.) -- Some Results on the Bivariat e Laguerre Polynomials (Özarslan, M.A. & Kürt, C.) -- Inner Product Spaces and Quadratic Functional Equations (Park, C., Park, W.-G. & Rassias, T.M.) -- Fuzzy Partial Metric Spaces (Amer, F.J.) -- Bounded and Unbounded Fundamental Solutions |
in MAC Models (Neygebauer, I.) -- Schurer Generalization of q-Hybrid Summation Integral Type Operators (Vural, İ., Altın, B. & Yüksel, I.) -- Approximation by q-Baskakov-Durrmeyer Type Operators of Two Variables (Yüksel, İ., Dinlemez, Ü. & Alt ın, B.) -- Blow up of Solutions of Second Order Semilinear Parabolic Equations Under Robin Boundary Conditions (Kalantarova, J. & Polat, M.) -- Functional Inequalities in Fuzzy Normed Spaces (Lee, J.R., Saadati, R. & Shin, D.Y.) -- Principal Vectors of M atrix-valued Difference Operators (Aygar, Y. & Olgun, M.) -- Some Extensions of Preinvexity for Stochastic Processes (Okur Bekar, N., Günay Akdemir, H. & İşcan, İ.) -- On One Boundary-Value Problem with Two Nonlocal Conditions for a Parabolic Equation (Danilkina, O.) -- Neighborhoods of Analytic Functions Associated with Fractional Derivative (Altıntaş, O) -- Spectrums of Solvable Pantograph Type Delay Differential Operators for First Order (Ismailov, Z.I. & Ipek, P.) -- Non-Commutative Geometry | |
and Applications to Physical Systems (Zaim, S.) -- The (s,t)-Generalized Jacobsthal Matrix Sequences (Uygun, Ş. & Uslu, K.) -- Domain Decomposition Approximation Approach for an Elliptic Partial Differential Equation (Buttar, T.N. & Sajid, N.) -- V oronovskaja Type Approximation Theorem for q-Szasz-Schurer Operators (Vedi, T. & Özarslan, M.A.) -- Approximation to Derivatives of Functions by Linear Operators Acting on Weighted Spaces by Power Series Method (Taş, E. & Yurdakadim, T.) -- Generalized Iterated Fractional Representation Formulae and Inequalities (Anastassiou, G.A.). | |
ISBN: | 9783319284439 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Series: | Springer Proceedings in Mathematics & Statistics: 155 |
Keywords: | Mathematics , Approximation theory , Potential theory (Mathematics) , Number theory , Mathematics , Number Theory , Potential Theory , Approximations and Expansions |
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Call number: | SPRINGER-2016-9783319274669:ONLINE Show nearby items on shelf |
Title: | Methods of Fourier Analysis and Approximation Theory |
Author(s): | |
Date: | 2016 |
Edition: | 1st ed. 2016 |
Size: | 1 online resource (258 p.) |
Note: | 10.1007/978-3-319-27466-9 |
Contents: | 1. Introduction -- 2. Fourier analysis -- 2.1. Parseval frames -- 2.2. Hyperbolic Hardy classes and logarithmic Bloch spaces -- 2.3. Logan's and Bohman's extremal problems -- 2.4. Weighted estimates for the Hilbert transform -- 2.5. Q-Measures and uniqueness sets for Haar series -- 2.6. O-diagonal estimates for Calderón-Zygmund operators -- 3. Function spaces of radial functions -- 3.1. Potential spaces of radial functions -- 3.2. On Leray's formula -- 4. Approximation theory -- 4.1. Approximation order of Besov classes -- 4.2. Ulyanov inequalities for moduli of smoothness -- 4.3. Approximation order of Besov classes -- 5. Optimization theory and related topics -- 5.1. The Laplace-Borel transform -- 5.2. Optimization control problems -- 2 Michael Ruzhansky and Sergey Tikhonov.-5.3. Optimization control problems for parabolic equation -- 5.4. Numerical modeling of the linear filtration -- References. |
ISBN: | 9783319274669 |
Series: | eBooks |
Series: | SpringerLink (Online service) |
Series: | Springer eBooks |
Keywords: | Mathematics , Harmonic analysis , Fourier analysis , Numerical analysis , Mathematics , Fourier Analysis , Abstract Harmonic Analysis , Numerical Analysis |
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Call number: | SPRINGER-2014-9783662434048:ONLINE Show nearby items on shelf |
Title: | Optimization and Control Techniques and Applications [electronic resource] |
Author(s): |
Honglei Xu Kok Lay Teo Yi Zhang |
Date: | 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | This book presents advances in state-of-the-art solution methods and their applications to real life practical problems in optimization, control and operations research. Contributions from world-class experts in the field arecollated here in two part s, dealing first with optimization and control theory and then with techniques and applications. Topics covered in the first part include control theory on infinite dimensional Banach spaces, history-dependentinclusion and linear programming complexity th eory. Chapters also explore the use of approximations of Hamilton-Jacobi-Bellman inequality for solving periodic optimization problems and look at multi-objective semi-infinite optimizationproblems, and production planning problems. In the second part, th e authors address techniques and applications of optimization and control in a variety of disciplines, such as chaos synchronization, facial expression recognition anddynamic input-output economic models. Other applications considered here include image r etrieval, natural earth satellites orbital transfers, snap-back repellers, and modern logistic systems. Readers will learn of advances inoptimization, control, and operations research, as well as potential new avenues of research and development. The book will appeal to scientific researchers, mathematicians and all specialists interested in the latest advances inoptimization and control. |
Contents: | Part I: Optimization and Control Theory |
Chapter 1. Some Recent Developments in Systems and Control Theory on Infinite Dimensional Banach Spaces | |
Chapter 2. Some Recent Developments in Systems and Control Theory on Infinite Dimensional Banach Spaces | |
Chapter 3. A Class of History | |
dependent Inclusions with Applications to Contact Problems | |
Chapter 4. On the Number of Solutions Generated by the Simplex Method for LP | |
Chapter 5. Use of Approximations of Hamilton | |
Jacobi | |
Bellman Inequality for Solving Periodic Optimization Problems | |
Chapter 6. On Proper Efficiency in Multi objective Sem | |
ISBN: | 9783662434048 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Proceedings in Mathematics & Statistics, 2194-1009 : v86 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Systems theory , Mathematical optimization , Operations research |
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Call number: | SPRINGER-2014-9783642376320:ONLINE Show nearby items on shelf |
Title: | Fluctuations of Lvy Processes with Applications [electronic resource] : Introductory Lectures |
Author(s): |
Andreas E Kyprianou |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Lvy processes are the natural continuous-time analogue of random walks and form a rich class of stochastic processes around which a robust mathematical theory exists. Their application appears in the theory of many areas ofclassical and modern stocha stic processes including storage models, renewal processes, insurance risk models, optimal stopping problems, mathematical finance, continuous-state branching processes and positive self-similar Markovprocesses. This textbook is based on a series of gradu ate courses concerning the theory and application of Lvy processes from the perspective of their path fluctuations. Central to the presentation is the decomposition of paths interms of excursions from the running maximum as well as an understanding of sho rt- and long-term behaviour. The book aims to be mathematically rigorous while still providing an intuitive feel for underlying principles. The results andapplications often focus on the case of Lvy processes with jumps in only one direction, for which re cent theoretical advances have yielded a higher degree of mathematical tractability. The second edition additionally addresses recentdevelopments in the potential analysis of subordinators, Wiener-Hopf theory, the theory of scale functions and their appli cation to ruin theory, as well as including an extensive overview of the classical and modern theory of positiveself-similar Markov processes. Each chapter has a comprehensive set of exercises. Andreas Kyprianou has a degree in Mathematics from the Univer sity of Oxford and a Ph.D. in Probability Theory from The University of Sheffield. He iscurrently a Professor of Probability at the University of Bath, having held academic positions in Mathematics and Statistics Departments at the London School of Econom ics, Edinburgh University, Utrecht University and Heriot-WattUniversity, besides working for nearly two years as a research mathematician in the oil industry. His research is focused on pure and a |
Contents: | Lvy Processes and Applications |
The LvyIt Decomposition and Path Structure | |
More Distributional and Path | |
Related Properties | |
General Storage Models and Paths of Bounded Variation | |
Subordinators at First Passage and Renewal Measures | |
The WienerHopf Factorisation | |
Lvy Processes at First Passage | |
Exit Problems for Spectrally Negative Processes | |
More on Scale Functions | |
Ruin Problems and Gerber | |
Shiu Theory | |
Applications to Optimal Stopping Problems | |
Continuous | |
State Branching Processes | |
Positive Self | |
similar Markov Processes | |
Epilogue | |
Hints for Exercises | |
ISBN: | 9783642376320 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Finance , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319063799:ONLINE Show nearby items on shelf |
Title: | Many-Electron Approaches in Physics, Chemistry and Mathematics [electronic resource] : A Multidisciplinary View |
Author(s): |
Volker Bach Luigi Delle Site |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book provides a broad description of the development and (computational) application of many-electron approaches from a multidisciplinary perspective. In the context of studying many-electron systems Computer Science,Chemistry, Mathematics and P hysics are all intimately interconnected. However, beyond a handful of communities working at the interface between these disciplines, there is still a marked separation of subjects. This book seeks to offera common platform for possible exchanges between the various fields and to introduce the reader to perspectives for potential further developments across the disciplines. The rapid advances of modern technology will inevitably requiresubstantial improvements in the approaches currently used, which will in turn make exchanges between disciplines indispensable. In essence this book is one of the very first attempts at an interdisciplinary approach to themany-electron problem |
Contents: | Topics in Quantum Chemistry |
Relativistic Quantum Theory of Many | |
Electron Systems | |
Spurious Modes in Dirac Calculations and how to avoid them | |
Tensor product approximation (DMRG) and Coupled Cluster Method in Quantum Chemistry | |
Quantum Cluster Equilibrium | |
Linear Response Methods in Quantum Chemistry | |
Topics in Density Functional Theory and Related Approaches | |
Progress on New Approaches to Old Ideas: Orbital | |
free Density Functionals | |
Time | |
dependent Density Functional Theory | |
Density Functional Theory for Strongly | |
Interacting Electrons | |
Towards the Computational Design of Co | |
ISBN: | 9783319063799 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Mathematical Physics Studies, 0921-3767 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Chemistry , Electronic data processing |
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Call number: | SPRINGER-2014-9783319057231:ONLINE Show nearby items on shelf |
Title: | Invariant Probabilities of Transition Functions [electronic resource] |
Author(s): |
Radu Zaharopol |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transitionfunctions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated usingtransition functions defined by flows, semiflows, a nd one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 areextended to transition functions. The proofs of the results obtained are new. For transition functions that satisfy very general conditions the book describes an ergodic decomposition that provides relevant information on the structureof the corresponding set of invariant probabilities. Ergodic decomposition means a splitting of the state space, where the invariant ergodic probability measures play a significant role. Other topics covered include: characterizationsof the supports of various types of invariant probability measures and the use of these to obtain criteria for un ique ergodicity, and the proofs of two mean ergodic theorems for a certain type of transition functions. The book will beof interest to mathematicians working in ergodic theory, dynamical systems, or the theory of Markov processes. Biologists, physicists and economists interested in interacting particle systems and rigorous mathematics will also findthis book a valuable resource. Parts of it are suitable for advanced graduate courses. Prerequisites are basic notions and results on functional analysis, gen eral topology, measure theory, the Bochner integral and some of itsapplications |
Contents: | Introduction |
1.Transition Probabilities | |
2.Transition Functions | |
3.Vector Integrals and A.E. Convergence | |
4.Special Topics | |
5.The KBBY Ergodic Decomposition, Part I | |
6.The KBBY Ergodic Decomposition, Part II | |
7.Feller Transition Functions | |
Appendices: A.Semiflows and Flows: Introduction | |
B.Measures and Convolutions | |
Bibliography | |
Index | |
ISBN: | 9783319057231 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Probability and Its Applications, 1431-7028 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Operator theory , Potential theory (Mathematics) , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319052540:ONLINE Show nearby items on shelf |
Title: | Trends in Contemporary Mathematics [electronic resource] |
Author(s): |
Vincenzo Ancona Elisabetta Strickland |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This book covers a wide spectrum of hot topics and current trends in mathematics, including noncommutative algebra via deformation theory, optimal transportation, nonlinear potential theory,kinetic theory and gas dynamics,geometric numerical integrat ion, finite simple groups of small essential dimension, optimal control problems, extended Dynkin diagrams, spin glasses, aspherical closed manifolds, Boltzmann systems, birational geometry of projectivevarieties and directed graphs, nonlinear diffusion, geometric constructions of extremal metrics on complex manifolds, and Pells equation in polynomials. The book comprises a selection of contributions by leading internationalmathematicians who were speakers at the INdAM Day, an initiative dating back to 20 04 at which the most recent developments in contemporary mathematics are presented |
Contents: | 1 F. Guerra: Interpolation and comparison methods in the mean field spin glass model |
2 A. De Sole, V.G. Kac, D. Valeri: Integrability of dirac reduced Bi | |
Hamiltonian equations | |
3 W. Luck: Some open problems about aspherical closed manifolds abstract | |
4 P. Etingof: Exploring noncommutative algebras via deformation theory | |
5 G. Lancia: Mathematical models and solutions for the analysis of human genotypes | |
6 M. Manetti: Kodaira | |
Spencer formality of products of complex manifolds | |
7 O. Debarre, B. Lass: Monomial transformations of the projective space | |
8 J.L. Vazquez: Progress in the | |
ISBN: | 9783319052540 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer INdAM Series, 2281-518X : v8 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Global analysis (Mathematics) , Differential equations, partial , Computer science Mathematics |
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Call number: | SPRINGER-2014-9783319043944:ONLINE Show nearby items on shelf |
Title: | Brownian Motion and its Applications to Mathematical Analysis [electronic resource] : cole d't de Probabilits de Saint-Flour XLIII 2013 |
Author(s): |
Krzysztof Burdzy |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | These lecture notes provide an introduction to the applications of Brownian motion to analysis and, more generally, connections between Brownian motion and analysis. Brownian motion is a well-suited model for a wide range of realrandom phenomena, fro m chaotic oscillations of microscopic objects, such as flower pollen in water, to stock market fluctuations. It is also a purely abstract mathematical tool which can be used to prove theorems in deterministicfields of mathematics. The notes include a brie f review of Brownian motion and a section on probabilistic proofs of classical theorems in analysis. The bulk of the notes are devoted to recent (post-1990) applications of stochasticanalysis to Neumann eigenfunctions, Neumann heat kernel and the heat equ ation in time-dependent domains |
Contents: | 1. Brownian motion |
2. Probabilistic proofs of classical theorems | |
3. Overview of the hot spots problem | |
4. Neumann eigenfunctions and eigenvalues | |
5. Synchronous and mirror couplings | |
6. Parabolic boundary Harnack principle | |
7. Scaling coupling | |
8. Nodal lines | |
9. Neumann heat kernel monotonicity | |
10. Reflected Brownian motion in time dependent domains | |
ISBN: | 9783319043944 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2106 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Potential theory (Mathematics) , Distribution (Probability theory) |
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Call number: | SPRINGER-2014-9783319031521:ONLINE Show nearby items on shelf |
Title: | Random Walks on Disordered Media and their Scaling Limits [electronic resource] : cole d't de Probabilits de Saint-Flour XL - 2010 |
Author(s): |
Takashi Kumagai |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | In these lecture notes, we will analyze the behavior of random walk on disordered mediaby means ofboth probabilistic and analytic methods, and will study the scalinglimits. We will focus on the discrete potential theory andhow the theory is effective ly used in the analysis of disordered media.Thefirst few chapters of the notes can be used as an introduction to discrete potential theory. Recently, there has beensignificantprogress onthetheoryof random walkon disordered media such as fractals and rand om media.Random walk on a percolation cluster(the ant in the labyrinth)is one of the typical examples. In 1986, H. Kesten showedtheanomalousbehavior of a random walk on a percolation cluster at critical probability. Partly motivated by this work, analysis and diffusion processes on fractals have been developed since the late eighties. As a result, various new methods havebeen produced to estimate heat kernels on disordered media. These developments are summarized in the notes |
Contents: | Introduction |
Weighted graphs and the associated Markov chains | |
Heat kernel estimates General theory | |
Heat kernel estimates using effective resistance | |
Heat kernel estimates for random weighted graphs | |
Alexander | |
Orbach conjecture holds when two | |
point functions behave nicely | |
Further results for random walk on IIC | |
Random conductance model | |
ISBN: | 9783319031521 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2101 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Potential theory (Mathematics) , Distribution (Probability theory) |
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Title: | Geometric Control Theory and Sub-Riemannian Geometry [electronic resource] |
Author(s): |
Gianna Stefani Ugo Boscain Jean-Paul Gauthier Andrey Sarychev Mario Sigalotti |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | This volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry.On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language forstudying controllability, mot ion planning,stabilizability and optimality for control systems. The geometric approach turned out to be fruitful in applications to robotics, vision modeling, mathematical physics etc. On the other hand,Riemannian geometry and its generalizations, such a s sub-Riemannian, Finslerian geometry etc., have been actively adopting methods developed in the scope of geometric control. Application of these methods has led to importantresults regarding geometry of sub-Riemannian spaces, regularity of sub-Riemannian distances, properties of the group of diffeomorphisms of sub-Riemannian manifolds, local geometry and equivalence of distributions and sub-Riemannianstructures, regularity of the Hausdorff volume |
Contents: | 1 A. A. Agrachev |
Some open problems | |
2 D. Barilari, A. Lerario | |
Geometry of Maslov cycles | |
3 Y. Baryshnikov, B. Shapiro | |
How to Run a Centipede: a Topological Perspective | |
4 B. Bonnard, O. Cots, L. Jassionnesse | |
Geometric and numerical techniques to compute conjugate and cut loci on Riemannian surfaces | |
5 J | |
B. Caillau, C. Royer | |
On the injectivity and nonfocal domains of the ellipsoid of revolution | |
6 P. Cannarsa, R. Guglielmi | |
Null controllability in large time for the parabolic Grushin operator with singular potential | |
7 Y. Chitour, M. Godoy Molina, P. Kokkonen | |
The rolli | |
ISBN: | 9783319021324 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer INdAM Series, 2281-518X : v5 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis , Global differential geometry , Mathematical optimization |
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Call number: | SPRINGER-2014-9783319018065:ONLINE Show nearby items on shelf |
Title: | Harmonic and Complex Analysis and its Applications [electronic resource] |
Author(s): |
Alexander Vasil'ev |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This volume highlights the main results of the research performed within the network Harmonic and Complex Analysis and its Applications (HCAA), which was a five-year (20072012) European Science Foundation Programmeintended to explore and to strengthe n the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. Itcoordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings,potential theory, Banach spaces of analytic functions and their applications to the problem s of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveyswritten as a result of activities of the Programme and will be interesting and useful for professionals and novi ces in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader willundoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme |
Contents: | L.D. Abreu, H.G. Feichtinger: Function spaces of polyanalytic functions |
F. Bracci, M.D. Contreras, S. Daz | |
Madrigal,A. Vasil'ev: Classical and stochastic Lwner | |
Kufarev equations | |
M. Elin, F. Jacobzon, M. Levenshtein, D. Shoikhet: The Schwarz Lemma. Rigidity and Dynamics | |
H.G. Feichtinger, M. Pap: Coorbit theory and Bergman spaces | |
S.J. Gardiner, T. Sjdin: Quadrature domains and their two | |
phase counterparts | |
B. Gustafsson: Exponential transforms, resultants and moments | |
M. Schlichenmaier: From the Virasoro Algebra to KricheverNovikov Type Algebras and Beyond | |
ISBN: | 9783319018065 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Trends in Mathematics |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Algebra , Functional analysis , Functions of complex variables , Potential theory (Mathematics) |
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Call number: | SPRINGER-2014-9783319007236:ONLINE Show nearby items on shelf |
Title: | Complexity in Financial Markets [electronic resource] : Modeling Psychological Behavior in Agent-Based Models and Order Book Models |
Author(s): |
Matthieu Cristelli |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Tools and methods from complex systems science can have a considerable impact on the way in which the quantitative assessment of economic and financial issues is approached, as discussed in this thesis. Firstit is shownthatthe self-organization of fi nancial markets is a crucial factor in the understanding of their dynamics. In fact, using an agent-based approach, it is argued that financial markets stylized facts appear only in the self-organizedstate. Secondly, the thesis points out the potential of so-called big data science for financial market modeling, investigating how web-driven data canyield a picture ofmarket activities: it has been found that web query volumesanticipate trade volumes. As a third achievement, the metrics developed herefor co untry competitiveness and product complexity is groundbreaking incomparison to mainstream theories of economic growth and technological development.A key element in assessing the intangible variables determining the success of countries in the present glo balized economy is represented by the diversification of the productive basket of countries. The comparison between the level ofcomplexity of a country's productive system and economic indicators such as the GDP per capita discloses its hidden growth pote ntial |
Contents: | Introduction |
Stylized Facts | |
Agent | |
Based Modeling | |
Critical Review of Agent | |
Based Models | |
A Minimal Agent | |
Based Model | |
Financial Market Dynamics: Order Book and Data Analysis | |
Order Book: Introduction and Main Statistical Evidences | |
Zero Intelligence Model for the Order Book Dynamics | |
Evidences of strategic placements of orders | |
Quantitative Analysis of Technical Trading | |
Universal Relation between Skewness and Kurtosis | |
Web Queries Can Predict Stock Market Volumes | |
A Metric for the Economic Complexity | |
Theory of Economic growth | |
ISBN: | 9783319007236 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053 |
Series: | Physics and Astronomy (Springer-11651) |
Keywords: | Data mining , Mathematics , Economics |
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Call number: | SPRINGER-2014-9783319005966:ONLINE Show nearby items on shelf |
Title: | Analytic Capacity, the Cauchy Transform, and Non-homogeneous CaldernZygmund Theory [electronic resource] |
Author(s): |
Xavier Tolsa |
Date: | 2014 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | This book studies some of the groundbreaking advances that have been made regarding analytic capacity and its relationship to rectifiability in the decade 19952005. The Cauchy transform plays a fundamental role in this areaand is accordingly one of t he main subjects covered. Another important topic, which may be of independent interest for many analysts, is the so-called non-homogeneous Caldern-Zygmund theory, the development of which has been largelymotivated by the problems arising in connection wi th analytic capacity. The Painlev problem, which was first posed around 1900, consists in finding a description of the removable singularities for bounded analytic functions in metricand geometric terms. Analytic capacity is a key tool in the study of thi s problem. In the 1960s Vitushkin conjectured that the removable sets which have finite length coincide with those which are purely unrectifiable. Moreover,because of the applications to the theory of uniform rational approximation, he posed the question as to whether analytic capacity is semiadditive. This work presents full proofs of Vitushkins conjecture and of the semiadditivity ofanalytic capacity, both of which remained open problems until very recently. Other related questions are also discussed, s uch as the relationship between rectifiability and the existence of principal values for the Cauchy transformsand other singular integrals. The book is largely self-contained and should be accessible for graduate students in analysis, as well as a valuabl e resource for researchers |
Contents: | Introduction |
Basic notation | |
Chapter 1. Analytic capacity | |
Chapter 2. Basic Caldern | |
Zygmund theory with non doubling measures | |
Chapter 3. The Cauchy transform and Menger curvature | |
Chapter 4. The capacity + | |
Chapter 5. A Tb theorem of Nazarov, Treil and Volberg | |
Chapter 6. The comparability between and +, and the semiadditivity of analytic capacity | |
Chapter 7. Curvature and rectifiability | |
Chapter 8. Principal values for the Cauchy transform and rectifiability | |
Chapter 9. RBMO() and H1 atb() | |
Bibliography | |
Index | |
ISBN: | 9783319005966 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Progress in Mathematics, 0743-1643 : v307 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions of complex variables , Potential theory (Mathematics) , Mathematical optimization |
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Call number: | SPRINGER-2014-9781461495932:ONLINE Show nearby items on shelf |
Title: | Linear Integral Equations [electronic resource] |
Author(s): |
Rainer Kress |
Date: | 2014 |
Edition: | 3rd ed. 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | This book combines theory, applications, and numerical methods, and covers each of these fields with the same weight. In order to make the book accessible to mathematicians, physicists, and engineers alike, the author has made itas self-contained as possible, requiring only a solid foundation in differential and integral calculus. The functional analysis which is necessary for an adequate treatment of the theory and the numerical solution of integral equationsis developed within the book itself. Prob lems are included at the end of each chapter. For this third edition in order to make the introduction to the basic functional analytic tools more complete the HahnBanach extensiontheorem and the Banach open mapping theorem are now included in the text. The treatment of boundary value problems in potential theory has been extended by a more complete discussion of integral equations of the first kind in theclassical Holder space setting and of both integral equations of the first and second kind in the co ntemporary Sobolev space setting. In the numerical solution part of the book, the author included a new collocation method fortwo-dimensional hypersingular boundary integral equations and a collocation method for the three-dimensional Lippmann-Schwinger e quation. The final chapter of the book on inverse boundary value problems for the Laplace equation hasbeen largely rewritten with special attention to the trilogy of decomposition, iterative and sampling methods Reviews of earlier editions: This book is an excellent introductory text for students, scientists, and engineers whowant to learn the basic theory of linear integral equations and their numerical solution. (Math. Reviews, 2000) This is a good introductory text book on linear integral equations. It contains almost all the topics necessary fora student. The presentation of the subject matter is lucid, clear and in the proper modern framework without being too abstract. (ZbM |
Contents: | Normed Spaces |
Bounded and Compact Operators | |
Riesz Theory | |
Dual Systems and Fredholm Alternative | |
Regularization in Dual Systems | |
Potential Theory | |
Singular Integral Equations | |
Sobolev Spaces | |
The Heat Equation | |
Operator Approximations | |
Degenerate Kernel Approximation | |
Quadrature Methods | |
Projection Methods | |
Iterative Solution and Stability | |
Equations of the First Kind | |
Tikhonov Regularization | |
Regularization by Discretization | |
Inverse Boundary Value Problems | |
References | |
Index | |
ISBN: | 9781461495932 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Applied Mathematical Sciences, 0066-5452 : v82 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Numerical analysis |
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Call number: | SPRINGER-2014-9781461484356:ONLINE Show nearby items on shelf |
Title: | An Introduction to Traffic Flow Theory [electronic resource] |
Author(s): |
Lily Elefteriadou |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Thistextprovides a comprehensive and concise treatment of the topic of traffic flow theory and includes several topics relevant to todays highway transportation system.It provides the fundamental principles of trafficflow theory as well as applicatio ns of those principles for evaluating specific types of facilities (freeways, intersections, etc.). Newer concepts of Intelligent transportation systems (ITS) and their potential impact on trafficflow are discussed. State-of-the-art in traffic flow resear ch and microscopic traffic analysis and traffic simulation have significantly advanced and are also discussed in this text. Real world examples and useful problem setscomplement each chapter. This textbook is meant for use in advanced undergraduate/gradua te level courses in traffic flow theory with prerequisites including two semesters of calculus, statistics, and an introductory course intransportation. The text would also be of interest to transportation professionals as a refresher in traffic flow theo ry, or as a reference. Students and engineers of diverse backgrounds will find this text accessible and applicableto todays traffic issues |
Contents: | Introduction |
Part 1 | |
1. Modeling the Motion of a Single Vehicle | |
2. Modeling Vehicle Interactions and the Movement of Groups of Vehicles | |
Part 2 | |
3. The Traffic Stream: Traffic Flow Performance Characteristics | |
4. Capacity | |
5. Traffic Operational Performance Measures | |
Part 3 | |
6. Analytical Models for Bottleneck and Queuing Evaluations | |
7. Simulation Modeling | |
Part 4 | |
8. Freeways | |
9. Signalized Intersections and Networks | |
10. Unsignalized Intersections | |
11.Two | |
Lane Highways | |
Appendix A | |
Appendix B | |
Index | |
ISBN: | 9781461484356 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Optimization and Its Applications, 1931-6828 : v84 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematical optimization , Civil engineering |
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Call number: | SPRINGER-2014-9781461482260:ONLINE Show nearby items on shelf |
Title: | Multi-scale Analysis for Random Quantum Systems with Interaction [electronic resource] |
Author(s): |
Victor Chulaevsky Yuri Suhov |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little wasknown about systems of se veral interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle quantum systems is an important and challenging problem thatlargely remains open. Multi-scale Analysis for Ra ndom Quantum Systems with Interaction presents the progress that had been recently achieved in this area. The main focus of the book is on a rigorous derivation of themulti-particle localization in a strong random external potential field. To make the pr esentation accessible to a wider audience, the authors restrict attention to a relatively simple tight-binding Anderson model on a cubic lattice Zd. This book includes the following cutting-edge features: * an introduction to the state-of-the-art single-p article localization theory * an extensive discussion of relevant technical aspects of the localization theory * a thoroughcomparison of the multi-particle model with its single-particle counterpart * a self-contained rigorous derivation of both spectral and dynamical localization in the multi-particle tight-binding Anderson model. Required mathematicalbackground for the book includes a knowledge of functional calculus, spectral theory (essentially reduced to the case of finite matrices) and basic probab ility theory. This is an excellent text for a year-long graduate course orseminar in mathematical physics. It also can serve as a standard reference for specialists |
Contents: | Preface |
Part I Single | |
particle Localisation | |
A Brief History of Anderson Localization | |
Single | |
Particle MSA Techniques | |
Part II Multi | |
particle Localization | |
Multi | |
particle Eigenvalue Concentration Bounds | |
Multi | |
particle MSA Techniques | |
References | |
Index | |
ISBN: | 9781461482260 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Progress in Mathematical Physics, 1544-9998 : v65 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Distribution (Probability theory) , Mathematical physics |
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Call number: | SPRINGER-2014-9781461479499:ONLINE Show nearby items on shelf |
Title: | Menahem Max Schiffer: Selected Papers Volume 2 [electronic resource] |
Author(s): |
Peter Duren Lawrence Zalcman |
Date: | 2014 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | M. M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping,Riemann surfaces, pa rtial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a widevariety of scientific fields. Spanning seven d ecades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequentdevelopments. Also included are a complete bibliography and several appreciation s of Schiffer's influence by collaborators and other admirers. |
Contents: | Part 4: Reprints |
The Fredholm eigen values of plane domains | |
Fredholm eigen values of multiply | |
connected domains | |
Fredholm eigenvalues and conformal mapping | |
Fredholm eigenvalues and Grunsky matrices | |
Commentary by Reiner Kuhnau | |
(with G. Polya) Sur la representation conforme de lexterieur dune courbe fermee convexe | |
Commentary by Peter Duren | |
Extremum problems and variational methods in conformal mapping | |
Commentary by Peter Duren | |
(with Z. Charzynski) A new proof of the Bieberbach conjecture for the fourth Coefficient | |
Commentary by Peter Duren | |
(wi | |
ISBN: | 9781461479499 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Contemporary Mathematicians |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematical optimization |
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Call number: | SPRINGER-2014-9781447164340:ONLINE Show nearby items on shelf |
Title: | Mathematical Methods for Elastic Plates [electronic resource] |
Author(s): |
Christian Constanda |
Date: | 2014 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Mathematical models of deformation of elastic plates are used by applied mathematicians and engineers in connection with a wide range of practical applications, from microchip production to the construction of skyscrapers andaircraft. This book emplo ys two important analytic techniques to solve the fundamental boundary value problems for the theory of plates with transverse shear deformation, which offers a more complete picture of the physical process ofbending than Kirchhoffs classical one. The fi rst method transfers the ellipticity of the governing system to the boundary, leading to singular integral equations on the contour of the domain. These equations, established on thebasis of the properties of suitable layer potentials, are then solved in spaces of smooth (Hlder continuous and Hlder continuously differentiable) functions. The second technique rewrites the differential system in terms ofcomplex variables and fully integrates it, expressing the solution as a combination of complex analytic potentials. The last chapter develops a generalized Fourier series method closely connected with the structure of the system,which can be used to compute approximate solutions. The numerical results generated as an illustration for the interior Dirichlet problem are accompanied by remarks regarding the efficiency and accuracy of the procedure. Thepresentation of the material is detailed and self-contained, making Mathematical Methods for Elastic Plates accessible to researchers and graduate students wit h a basic knowledge of advanced calculus |
Contents: | Singular Kernels |
Potentials and Boundary Integral Equations | |
Bending of Elastic Plates | |
The Layer Potentials | |
The Newtonian Potential | |
Existence of Regular Solutions | |
Complex Variable Treatment | |
Generalized Fourier Series | |
ISBN: | 9781447164340 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global analysis (Mathematics) , Integral equations , Materials |
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Call number: | SPRINGER-2014-9781447164227:ONLINE Show nearby items on shelf |
Title: | Potential Theory [electronic resource] |
Author(s): |
Lester L Helms |
Date: | 2014 |
Edition: | 2nd ed. 2014 |
Publisher: | London : Springer London : Imprint: Springer |
Size: | 1 online resource |
Note: | Potential Theory presents a clear path from calculus to classical potential theory and beyond, with the aim of moving the reader into the area of mathematical research as quickly as possible. The subject matter is developed fromfirst principles using only calculus. Commencing with the inverse square law for gravitational and electromagnetic forces and the divergence theorem, the author develops methods for constructing solutions of Laplace's equation on aregion with prescribed values on the boundary of the region. The latter half of the book addresses more advanced material aimed at those with the background of a senior undergraduate or beginning graduate course in real analysis.Starting with solutions of the Dirichlet problem subject to mixed bounda ry conditions on the simplest of regions, methods of morphing such solutions onto solutions of Poisson's equation on more general regions are developed usingdiffeomorphisms and the Perron-Wiener-Brelot method, culminating in application to Brownian motion . In this new edition, many exercises have been added to reconnect the subject matter to the physical sciences. This book willundoubtedly be useful to graduate students and researchers in mathematics, physics, and engineering |
Contents: | Preliminaries |
Laplaces Equation | |
The Dirichlet Problem | |
Green Functions | |
Negligible Sets | |
Dirichlet Problem for Unbounded Regions | |
Energy | |
Interpolation and Monotonicity | |
Newtonian Potential | |
Elliptic Operators | |
Apriori Bounds | |
Oblique Derivative Problem | |
Application to Diffusion Processes | |
ISBN: | 9781447164227 |
Series: | eBooks |
Series: | SpringerLink |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Potential theory (Mathematics) , Distribution (Probability theory) |
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Call number: | SPRINGER-2013-9783642331312:ONLINE Show nearby items on shelf |
Title: | Quasi-Stationary Distributions [electronic resource] : Markov Chains, Diffusions and Dynamical Systems |
Author(s): |
Pierre Collet Servet Martnez Jaime San Martn |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Main concepts of quasi-stationary distributions (QSDs) for killed processes are the focus of the present volume. For diffusions, the killing is at the boundary and for dynamical systems there is a trap. The authors present theQSDs as the ones that al low describing the long-term behavior conditioned to not being killed. Studies in this research area started with Kolmogorov and Yaglom and in the last few decades have received a great deal of attention. Theauthors provide the exponential distribution pr operty of the killing time for QSDs, present the more general result on their existence and study the process of trajectories that survive forever. For birth-and-death chains anddiffusions, the existence of a single or a continuum of QSDs is described. Th ey study the convergence to the extremal QSD and give the classification of the survival process. In this monograph, the authors discuss Gibbs QSDs forsymbolic systems and absolutely continuous QSDs for repellers. The findings described are relevant to re searchers in the fields of Markov chains, diffusions, potential theory, dynamical systems, and in areas where extinction is acentral concept. The theory is illustrated with numerous examples. The volume uniquely presents the distribution behavior of indiv iduals who survive in a decaying population for a very long time. It also provides the background forapplications in mathematical ecology, statistical physics, computer sciences, and economics |
Note: | Springer eBooks |
Contents: | 1.Introduction |
2.Quasi | |
stationary Distributions: General Results | |
3.Markov Chains on Finite Spaces | |
4.Markov Chains on Countable Spaces | |
5.Birth and Death Chains | |
6.Regular Diffusions on [0,) | |
7.Infinity as Entrance Boundary | |
8.Dynamical Systems | |
References | |
Index | |
Table of Notations | |
Citations Index. | |
ISBN: | 9783642331312 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Probability and Its Applications, 1431-7028 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential equations, partial , Genetics Mathematics , Distribution (Probability theory) |
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Title: | Multi-Layer Potentials and Boundary Problems [electronic resource] : for Higher-Order Elliptic Systems in Lipschitz Domains |
Author(s): |
Irina Mitrea Marius Mitrea |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Many phenomena in engineering and mathematical physics can be modeled by means of boundary value problems for a certain elliptic differential operator in a given domain. When the differential operator under discussion is ofsecond order a variety of t ools are available for dealing with such problems, including boundary integral methods, variational methods, harmonic measure techniques, and methods based on classical harmonic analysis. When thedifferential operator is of higher-order (as is the case, e .g., with anisotropic plate bending when one deals with a fourth order operator) only a few options could be successfully implemented. In the 1970s Alberto Caldern, one ofthe founders of the modern theory of Singular Integral Operators, advocated the use of layer potentials for the treatment of higher-order elliptic boundary value problems. The present monograph represents the first systematic treatmentbased on this approach. This research monograph lays, for the first time, the mathematical foundation ai med at solving boundary value problems for higher-order elliptic operators in non-smooth domains using the layer potential methodand addresses a comprehensive range of topics, dealing with elliptic boundary value problems in non-smooth domains including l ayer potentials, jump relations, non-tangential maximal function estimates, multi-traces and extensions,boundary value problems with data in WhitneyLebesque spaces, WhitneyBesov spaces, WhitneySobolev- based Lebesgue spaces, WhitneyTriebelLizorkin spaces, WhitneySobolev-based Hardy spaces, WhitneyBMO and WhitneyVMOspaces |
Note: | Springer eBooks |
Contents: | 1 Introduction |
2 Smoothness scales and Calden | |
Zygmund theory in the scalar | |
valued case | |
3 Function spaces of Whitney arrays | |
4 The double multi | |
layer potential operator | |
5 The single multi | |
layer potential operator | |
6 Functional analytic properties of multi | |
layer potentials and boundary value problems | |
ISBN: | 9783642326660 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2063 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Fourier analysis , Integral equations , Differential equations, partial , Potential theory (Mathematics) |
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Call number: | SPRINGER-2013-9783642309045:ONLINE Show nearby items on shelf |
Title: | Advances in Network Analysis and its Applications [electronic resource] |
Author(s): |
Evangelos Kranakis |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | As well as highlighting potentially useful applications for network analysis, this volume identifies new targets for mathematical research that promise to provide insights into network systems theory as well as facilitating thecross-fertilization of ideas between sectors. Focusing on financial, security and social aspects of networking, the volume adds to the growing body of evidence showing that network analysis has applications to transportation,communication, health, finance, and social policy mor e broadly. It provides powerful models for understanding the behavior of complex systems that, in turn, will impact numerous cutting-edge sectors in science and engineering, such aswireless communication, network security, distributed computing and social networking, financial analysis, and cyber warfare. The volume offers an insider' s view of cutting-edge research in network systems, including methodologieswith immense potential for interdisciplinary application. The contributors have all presented mate rial at a series of workshops organized on behalf of Canadas MITACS initiative, which funds projects and study grants inmathematics for information technology and complex systems. These proceedings include papers from workshops on financial networks, netw ork security and cryptography, and social networks. MITACS has shown that the partlyghettoized nature of network systems research has led to duplicated work in discrete fields, and thus this initiative has the potential to save time and accelerate the pac e of research in a number of areas of network systemsresearch |
Note: | Springer eBooks |
Contents: | FINANCIAL NETWORKS: 1. Mathematical modeling of systemic risk: H. Amini, A. Minca |
2. Systemic risk in banking networks without Monte Carlo simulation: J. P. Gleeson, T. R. Hurd, S. Melnik, A. Hackett | |
3. Systemic Valuation of Banks Interbank Equilibrium and Contagion: G. Haaj | |
4. An Open Problem: J. B. Walsh | |
II SECURITY NETWORKS: 5. Dynamic Trust Management: Network Profiling for High Assurance Resilience: M. Burmester , W. O. Redwood | |
6. Security Issues in Link State Routing Protocols for MANETs: G.Cervera, M.Barbeau, J. Garcia | |
Alfaro, E.Kranakis | |
7. TCHo: a Code | |
bas | |
ISBN: | 9783642309045 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Mathematics in Industry, 1612-3956 : v18 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Computer Communication Networks , Bioinformatics , Computer engineering , Industrial organization (Economic theory) |
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Call number: | SPRINGER-2013-9783642303678:ONLINE Show nearby items on shelf |
Title: | Model Based Parameter Estimation [electronic resource] : Theory and Applications |
Author(s): |
Hans Georg Bock Thomas Carraro Willi Jger Stefan Krkel Rolf Rannacher Johannes P Schlder |
Date: | 2013 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This judicious selection of articles combines mathematical and numerical methods to apply parameter estimation and optimum experimental design in a range of contexts. These include fields as diverse as biology, medicine,chemistry, environmental physi cs, image processing and computer vision. The material chosen was presented at a multidisciplinary workshop on parameter estimation held in 2009 in Heidelberg. The contributions show how indispensableefficient methods of applied mathematics and computer-b ased modeling can be to enhancing the quality of interdisciplinary research. The use of scientific computing to model, simulate, and optimize complex processes has become astandard methodology in many scientific fields, as well as in industry. Demonstrat ing that the use of state-of-the-art optimization techniques in a number of research areas has much potential for improvement, this book providesadvanced numerical methods and the very latest results for the applications under consideration |
Note: | Springer eBooks |
Contents: | Parameter Estimation and Optimum Experimental Design for Differential Equation Models: H.G. Bock, St. Krkel, J.P. Schlder |
Adaptive Finite Element Methods for Parameter Identification Problems: B. Vexler | |
Gauss | |
Newton Methods for Robust Parameter Estimation: T. Binder, E. Kostina | |
An Optimal Scanning Sensor Activation Policy for Parameter Estimation of Distributed Systems: D. Ucnski | |
Interaction between Experiment, Modeling and Simulation of Spatial Aspects in the JAK2/STAT5 Signaling Pathway: E. Friedmann, A. C. Pfeifer, R. Neumann, U. Klingmller , R. Rannacher | |
The Importan | |
ISBN: | 9783642303678 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Contributions in Mathematical and Computational Sciences, 2191-303X : v4 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential Equations , Differential equations, partial , Computer science , Numerical analysis , Mathematical optimization |
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Call number: | SPRINGER-2013-9783319020006:ONLINE Show nearby items on shelf |
Title: | General Parabolic Mixed Order Systems in Lp and Applications [electronic resource] |
Author(s): |
Robert Denk Mario Kaip |
Date: | 2013 |
Publisher: | Cham : Springer International Publishing : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | In this text, a theory for general linear parabolic partial differential equations is established, which covers equations with inhomogeneous symbol structure as well as mixed order systems. Typical applications include severalvariants of the Stokes s ystem and free boundary value problems. We show well-posedness in Lp-Lq-Sobolev spaces in time and space for the linear problems (i.e., maximal regularity), which is the key step for the treatment of nonlinearproblems. The theory is based on the concept o f the Newton polygon and can cover equations that are not accessible by standard methods as, e.g., semigroup theory. Results are obtained in different types of non-integer Lp-Sobolev spacesas Besov spaces, Bessel potential spaces, and TriebelLizorkin spac es. The latter class appears in a natural way as traces of Lp-Lq-Sobolev spaces. We also present a selection of applications in the whole space and on half-spaces.Among others, we prove well-posedness of the linearizations of the generalized thermoelastic plate equation, the two-phase NavierStokes equations with BoussinesqScriven surface, and the Lp-Lq two-phase Stefan problem withGibbsThomson correction |
Note: | Springer eBooks |
Contents: | Introduction and Outline |
1The joint time | |
space H(infinity) | |
calculus | |
2 The Newton polygon approach for mixed | |
order systems | |
3 Triebel | |
Lizorkin spaces and the Lp | |
Lq setting | |
4 Application to parabolic differential equations | |
List of figures | |
Bibliography | |
List of symbols | |
Index | |
ISBN: | 9783319020006 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Operator Theory: Advances and Applications, 0255-0156 : v239 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Operator theory , Differential equations, partial |
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Call number: | SPRINGER-2013-9783319010595:ONLINE Show nearby items on shelf |
Title: | DiscreteTime Stochastic Control and Dynamic Potential Games [electronic resource] : The EulerEquation Approach |
Author(s): |
David Gonzlez-Snchez Onsimo Hernndez-Lerma |
Date: | 2013 |
Publisher: | Cham : Springer International Publishing : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | There are several techniques to study noncooperative dynamic games, suchas dynamic programming and the maximum principle (also called the Lagrangemethod). It turns out, however, that one way to characterize dynamicpotentialgames requires to analyze i nverse optimal control problems, and it is here wherethe Euler equation approach comes in because it is particularly wellsuited tosolve inverse problems.Despite the importance of dynamicpotential games, there is no systematicstudy about them. Thismonograp h isthe firstattempt to provide a systematic, selfcontained presentation of stochastic dynamicpotential games |
Note: | Springer eBooks |
Contents: | Introduction and summary |
Direct problem: the Euler equation approach | |
The inverse optimal control problem | |
Dynamic games | |
Conclusion | |
References | |
Index | |
ISBN: | 9783319010595 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Systems theory , Distribution (Probability theory) |
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Call number: | SPRINGER-2013-9783034805162:ONLINE Show nearby items on shelf |
Title: | Advances in Harmonic Analysis and Operator Theory [electronic resource] : The Stefan Samko Anniversary Volume |
Author(s): |
Alexandre Almeida Lus Castro Frank-Olme Speck |
Date: | 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume is dedicated to Professor Stefan Samko on the occasion of his seventieth birthday. The contributions display the range of his scientific interests in harmonic analysis and operator theory. Particular attentionispaidto fractional integrals and derivatives, singular, hypersingular and potential operators in variable exponent spaces, pseudodifferential operators in various modern function and distribution spaces, as well asrelatedapplications, to mention but a few. Most of the contributions were originally presented at two conferences in Lisbon and Aveiro, Portugal, in JuneJuly 2011 |
Note: | Springer eBooks |
ISBN: | 9783034805162 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Operator Theory: Advances and Applications : v229 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Harmonic analysis , Operator theory , Potential theory (Mathematics) |
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Call number: | SPRINGER-2013-9783034805131:ONLINE Show nearby items on shelf |
Title: | Nonlinear Partial Differential Equations with Applications [electronic resource] |
Author(s): |
Tom Roubek |
Date: | 2013 |
Edition: | 2nd ed. 2013 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-)monotone or accretive oper ators as fast as possible towards the analysis of concrete differential equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media,modelling of biological systems, or in mechani cal engineering. Selected parts aremainly an introduction into the subject while some others form an advanced textbook. Thesecond edition simplifies and extends the exposition atparticular spots and augments the applications especially towards thermally coupled systems, magnetism, and more. The intended audience is graduate and PhD students as well as researchers in the theory of partial differential equationsor in mathematical modelling of distributed parameter systems. ------ The monograph contains a w ealth of material in both the abstract theory of steady-state or evolution equations of monotone and accretive type and concreteapplications to nonlinear partial differential equations from mathematical modeling. The organization of the material is well d one, and the presentation, although concise, is clear, elegant and rigorous. () this book is a notableaddition to the existing literature. Also, it certainly will prove useful to engineers, physicists, biologists and other scientists interested in the ana lysis of (...) nonlinear differential models of the real world. (MathematicalReviews) |
Note: | Springer eBooks |
Contents: | Preface |
Preface to the 2nd edition | |
Notational conventions | |
1 Preliminary general material | |
I Steady | |
state problems | |
2 Pseudomonotone or weakly continuous mappings | |
3 Accretive mappings | |
4 Potential problems: smooth case | |
5 Nonsmooth problems variational inequalities | |
6. Systems of equations: particular examples | |
II Evolution problems | |
7 Special auxiliary tools | |
8 Evolution by pseudomonotone or weakly continuous mappings | |
9 Evolution governed by accretive mappings | |
10 Evolution governed by certain set | |
valued mappings | |
11 Doubly | |
nonlinear problems | |
12 Systems o | |
ISBN: | 9783034805131 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | International Series of Numerical Mathematics : v153 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Differential equations, partial , Computer science Mathematics , Numerical analysis |
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Call number: | SPRINGER-2013-9781461482086:ONLINE Show nearby items on shelf |
Title: | Distributions, Partial Differential Equations, and Harmonic Analysis [electronic resource] |
Author(s): |
Dorina Mitrea |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. Thebook is written in a for mat suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to coverall intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have beencarefully chosen to amplify the effect, and substantiate the power and scop e, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematicalinterests will find this book to be a useful resource and complete self-study guide. Throughout, a spe cial effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance tosee the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed too ls (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonicanalysis, at the earliest opportunity |
Note: | Springer eBooks |
Contents: | Introduction |
Summary of Topological and Functional Analysis Results | |
Weak Derivatives | |
The Space D0() of Distributions | |
The Fourier Transform | |
The Space of Tempered Distributions | |
Fundamental Solution | |
The Laplace Operator | |
The Heat Operator | |
The Wave Operator | |
The Lame Operator | |
Fundamental Solutions for Other Operators | |
Hypoelliptic operators | |
Sobolev spaces | |
Appendix | |
References. | |
ISBN: | 9781461482086 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Fourier analysis , Functional analysis , Differential equations, partial , Potential theory (Mathematics) |
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Call number: | SPRINGER-2013-9781461473855:ONLINE Show nearby items on shelf |
Title: | Bounded Noises in Physics, Biology, and Engineering [electronic resource] |
Author(s): |
Alberto d'Onofrio |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Since the parameters in dynamical systems of biological interest are inherently positive and bounded, bounded noises are a natural way to model the realistic stochastic fluctuations of a biological system that are caused by itsinteraction with the ex ternal world. Bounded Noises in Physics, Biology, and Engineering is the first contributed volumedevoted to the modeling of bounded noises in theoretical and applied statistical mechanics, quantitative biology,and mathematical physics.It gives an overview of the currentstate-of-the-art and isintended to stimulatefurther research. The volumeis organized in four parts. The first part presents the main kinds of bounded noises andtheir applications in theoretical physics. The theory of bounded stochastic pro cesses is intimately linked to its applications to mathematical and statistical physics, and it would be difficult and unnatural to separate the theory fromits physical applications. The second is devoted to framing bounded noises in the theory of random dynamical systems and random bifurcations, while the third is devoted to applications of bounded stochastic processes in biology, one ofthe major areas of potential applications of this subject. The final part concerns the application of bounded stochasti c processes in mechanical and structural engineering, the area where the renewed interest for non-Gaussian boundednoises started. Pure mathematicians working on stochastic calculus will find here a rich source of problems that are challenging from the poi nt of view of contemporary nonlinear analysis. Bounded Noises in Physics, Biology, andEngineering is intended for scientists working on stochastic processes with an interest in both fundamental issues and applications.It will appeal to a broad range of a pplied mathematicians, mathematical biologists, physicists,engineers, and researchers in other fields interested in complexity theory. Itis accessible to anyonewith a working knowl |
Note: | Springer eBooks |
Contents: | Introduction |
Part I : Modeling of Bounded Noises and Their Applications in Physics | |
On Bounded Stochastic Processes | |
Dynamics of Systems With Randomly Disordered Periodic Excitations | |
Noise | |
Induced Phenomena: Effects of Noises Based on Tsallis Statistics | |
Dynamical Systems Driven by Dichotomous Noise | |
Stochastic Oscillator : Brownian Motion With Adhesion | |
Numerical Study of Energetic Stability For Harmonic Oscillator With Fluctuating Damping Parameter | |
A Moment | |
Based Approach to Bounded Non | |
Gaussian Colored Noise | |
Spatiotemporal Bounded Noises, and Their Application to the | |
ISBN: | 9781461473855 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Modeling and Simulation in Science, Engineering and Technology, 2164-3679 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) , Engineering mathematics |
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Call number: | SPRINGER-2013-9781461459699:ONLINE Show nearby items on shelf |
Title: | On the Higher-Order Sheffer Orthogonal Polynomial Sequences [electronic resource] |
Author(s): |
Daniel J Galiffa |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | On the Higher-Order Sheffer Orthogonal Polynomial Sequences sheds light on the existence/non-existence of B-Type 1 orthogonal polynomials. This book presents a template for analyzing potential orthogonal polynomial sequencesincluding additional highe r-order Sheffer classes. This text not only shows that there are no OPS for the special case the B-Type 1 class, but that there are no orthogonal polynomial sequences for the general B-Type 1 class as well.Moreover, it is quite provocative how the seeming ly subtle transition from the B-Type 0 class to the B-Type 1 class leads to a drastically more difficult characterization problem. Despite this issue, a procedure is established thatyields a definite answer to our current characterization problem, which c an also be extended to various other characterization problems as well. Accessible to undergraduate students in the mathematical sciences and related fields, Thisbook functions as an important reference work regarding the Sheffer sequences. The author tak es advantage of Mathematica 7 to display unique detailed code and increase the reader's understanding of the implementation of Mathematica 7and facilitate further experimentation. In addition, this book provides an excellent example of how packages like M athematica 7 can be used to derive rigorous mathematical results |
Note: | Springer eBooks |
Contents: | 1. The Sheffer A |
Type 0 Orthogonal Polynomial Sequences and Related Results | |
2. Some Applications of the Sheffer A | |
Type 0 Orthogonal Polynomial Sequences | |
3. A Method for Analyzing a Special Case of the Sheffer B | |
Type 1 Polynomial Sequences | |
ISBN: | 9781461459699 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Matrix theory , Computer science |
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Call number: | SPRINGER-2013-9780817680855:ONLINE Show nearby items on shelf |
Title: | Menahem Max Schiffer: Selected Papers Volume 1 [electronic resource] |
Author(s): |
Peter Duren Lawrence Zalcman |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | M. M. Schiffer, the dominant figure in geometric function theory in the second half of the twentieth century, was a mathematician of exceptional breadth, whose work ranged over such areas as univalent functions, conformal mapping,Riemann surfaces, pa rtial differential equations, potential theory, fluid dynamics, and the theory of relativity. He is best remembered for the powerful variational methods he developed and applied to extremal problems in a widevariety of scientific fields Spanning seven de cades, the papers collected in these two volumes represent some of Schiffer's most enduring innovations. Expert commentaries provide valuable background and survey subsequentdevelopments. Also included are a complete bibliography and several appreciations of Schiffer's influence by collaborators and other admirers |
Note: | Springer eBooks |
Contents: | Part 1. Publications of M. M. Schiffer |
Doctoral Students of M. M. Schiffer | |
Chronology of M. M. Schiffer | |
Part 2. Personal Reminiscences | |
Paul R. Garabedian, Recollections of Menahem Max Schiffer | |
Robert Finn, Memories of Menahem Schiffer | |
Peter Duren, Working with Max Schiffer | |
Lawrence Zalcman, Memories of Max Schiffer | |
Dennis Hejhal, Some Reminiscences of My Thesis Advisor, Max Schiffer | |
Dov Aharonov, Max Schiffer at the Technion | |
Steven R. Bell, M. M. Schiffer, Explorer | |
Part 3. Selected Papers | |
Ein neuer Beweis des Endlich | |
ISBN: | 9780817680855 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Contemporary Mathematicians |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematical optimization |
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Call number: | SPRINGER-2013-9780817646523:ONLINE Show nearby items on shelf |
Title: | Distributions in the Physical and Engineering Sciences, Volume 2 [electronic resource] : Linear and Nonlinear Dynamics in Continuous Media |
Author(s): |
Alexander I Saichev Wojbor A Woyczynski |
Date: | 2013 |
Publisher: | New York, NY : Springer New York : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enrichedwith many modern topic s that are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis. Volume2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project that endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students andresearchers in applied mathematics, physical sciences, and engineering. I t contains an analysis of the three basic types of linear partial differential equationselliptic, parabolic, and hyperbolicas well as chapters onfirst-order nonlinear partial differential equations and conservation laws, and generalized solutions of first -order nonlinear PDEs. Nonlinear wave, growing interface, and Burgers equations, KdV equations, and the equations of gasdynamics and porous media are also covered. The careful explanations, accessible writing style, many illustrations/examples and soluti ons also make it suitable for use as a self-study reference by anyone seeking greaterunderstanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically prec ise. Features Application orientedexposition of distributional (Dirac delta) methods in the theory of partial differential equations. Abstract formalism is keep to a minimum. Careful and rich selection of examples and problems arising in real-lifesitua tions. Complete solutions to all exercises appear at the end of the book. Clear explanations, motivations, and illustration of a |
Note: | Springer eBooks |
Contents: | III POTENTIALS, DIFFUSIONS AND WAVES |
9 Potential Theory and Fundamental Solutions of Elliptic Equations | |
10 Diffusions and Parabolic Evolution Equations | |
11 Waves and Hyperbolic Equations | |
12 First Order Nonlinear PDEs and Conservation Laws | |
13 Generalized Solutions of First Order Nonlinear PDEs | |
14 Nonlinear waves and growing interfaces: 1 | |
D Burgers | |
KPZ models | |
15 Other Standard Nonlinear Models of Higher Order | |
Appendix A: Answers and Solutions | |
Appendix B: Bibliographical Notes | |
ISBN: | 9780817646523 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Applied and Numerical Harmonic Analysis, 2296-5009 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics |
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Call number: | SPRINGER-2012-9789491216473:ONLINE Show nearby items on shelf |
Title: | Stochastic Differential Games. Theory and Applications [electronic resource] |
Author(s): |
Kandethody M Ramachandran Chris P Tsokos |
Date: | 2012 |
Publisher: | Paris : Atlantis Press |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Conflicts in the form of wars, or competition among countries and industrial institutions are plenty in human history. The introduction of game theory in the middle of the twentieth century shed insights and enabled researchers toanalyze this subject with mathematical rigor. From the ground-breaking work of VonNeumann and Morgenston, modern game theory evolved enormously. In the last few decades, Dynamic game theory framework has been deepened and generalizedfrom the pioneering work on differential g ames by R. Isaacs, L.S. Pontryagin and his school, and on stochastic games by Shapley. This book will expose the reader to some of the fundamental methodology in non-cooperative game theory,and highlight some numerical methods, along with some relevant ap plications. Since the early development days, differential game theory has had a significant impact in such diverse disciplines as applied mathematics, economics, systemstheory, engineering, operations, research, biology, ecology, environmental sciences, among others. Modern game theory now relies on wide ranging mathematical and computational methods, and relevant applications that are rich andchallenging. Game theory has been widely recognized as an important tool in many fields. Importance of game theo ry to economics is illustrated by the fact that numerous game theorists, such as John Forbes Nash, Jr., Robert J. Aumannand Thomas C. Schelling, have won the Nobel Memorial Prize in Economics Sciences. Simply put, game-theory has the potential to reshape the analysis of human interaction |
Note: | Springer eBooks |
Contents: | Introduction, Survey and Background Material |
Stochastic Linear Pursuit | |
Evasion Game | |
Two Person Zero | |
Sum Differential Games | |
General Case | |
Formal Solutions for Some Classes of Stochastic Linear Pursuit | |
N | |
Person Noncooperative Differential Games | |
Weak Convergence in Two Player Stochastic Differential Games | |
Weak Convergence in Many Player Games | |
Some Numerical Methods | |
Applications to Finance | |
ISBN: | 9789491216473 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Atlantis Studies in Probability and Statistics, 1879-6893 : v2 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Distribution (Probability theory) , Economics, Mathematical |
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Call number: | SPRINGER-2012-9788876424434:ONLINE Show nearby items on shelf |
Title: | An Introduction to the Regularity Theory for Elliptic Systems, Harmonic Maps and Minimal Graphs [electronic resource] |
Author(s): |
Mariano Giaquinta Luca Martinazzi |
Date: | 2012 |
Publisher: | Pisa : Scuola Normale Superiore : Imprint: Edizioni della Normale |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume deals with the regularity theory for elliptic systems. We may find the origin of such a theory in two of the problems posed by David Hilbert in his celebrated lecture delivered during the International Congress ofMathematicians in 1900 in Paris: 19th problem: Are the solutions to regular problems in the Calculus of Variations always necessarily analytic? 20th problem: does any variational problem have a solution, provided that certainassumptions regarding the given boundary conditions are satisfied, and provided that the notion of a solution is suitably extended? During the last century these two problems have generated a great deal of work, usually referred to asregularity theory, which makes this topic quite relevant in many fields and still very active for research. However, the purpose of this volume, addressed mainly to students, is much more limited. We aim to illustrate only some of thebasic ideas and techniques introduced in this context, confining ourselves to important but simpl e situations and refraining from completeness. In fact some relevant topics are omitted. Topics include: harmonic functions, directmethods, Hilbert space methods and Sobolev spaces, energy estimates, Schauder and Lp-theory both with and without potential theory, including the Calderon-Zygmund theorem, Harnack's and De Giorgi-Moser-Nash theorems in the scalar caseand partial regularity theorems in the vector valued case energy minimizing harmonic maps and minimal graphs in codimension 1 and greater than 1. In this second deeply revised edition we also included the regularity of 2-dimensionalweakly harmonic maps, the partial regularity of stationary harmonic maps, and their connections with the case p=1 of theLp theory, including the celebrated results of W ente and of Coifman-Lions-Meyer-Semmes |
Note: | Springer eBooks |
Contents: | 1 Harmonic functions |
2 Direct methods | |
3 Hilbert space methods | |
4 L2 | |
regularity: the Caccioppoli inequality | |
5 Schauder estimates | |
6 Some real analysis | |
7 Lp | |
theory | |
8 The regularity problem in the scalar case | |
9 Partial regularity in the vector | |
valued case | |
10 Harmonic maps | |
11 A survey of minimal graphs | |
ISBN: | 9788876424434 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Publications of the Scuola Normale Superiore |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial |
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Call number: | SPRINGER-2012-9788847024908:ONLINE Show nearby items on shelf |
Title: | Introduction to Modeling Biological Cellular Control Systems [electronic resource] |
Author(s): |
Weijiu Liu |
Date: | 2012 |
Publisher: | Milano : Springer Milan |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This textbook contains the essential knowledge in modeling, simulation, analysis, and applications in dealing with biological cellular control systems. In particular, the book shows how to use the law of mass balance and the lawof mass action to deri ve an enzyme kinetic model - the Michaelis-Menten function or the Hill function, how to use a current-voltage relation, Nernst potential equilibrium equation, and Hodgkin and Huxley's models to model an ionicchannel or pump, and how to use the law of mass balance to integrate these enzyme or channel models into a complete feedback control system. The book also illustrates how to use data to estimate parameters in a model, how to use MATLABto solve a model numerically, how to do computer simulations, and h ow to provide model predictions. Furthermore, the book demonstrates how to conduct a stability and sensitivity analysis on a model |
Note: | Springer eBooks |
Contents: | Enzyme Kinetics |
Preliminary Systems Theory | |
Control of Blood Glucose | |
Control of Calcium in Yeast Cells | |
Kinetics of Ion Pumps and Channels | |
Store | |
Operated Calcium Entry | |
Control of Mitochondrial Calcium | |
Control of Phosphoinositide Synthesis | |
PreliminaryMATLAB | |
ISBN: | 9788847024908 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | MS&A, 2037-5255 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Chemistry Mathematics , Biological models , Cytology , Differential Equations , Systems theory |
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Call number: | SPRINGER-2012-9783642298462:ONLINE Show nearby items on shelf |
Title: | Coulomb Frames in the Normal Bundle of Surfaces in Euclidean Spaces [electronic resource] : Topics from Differential Geometry and Geometric Analysis of Surfaces |
Author(s): |
Steffen Frhlich |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is intended for advanced students and young researchers interested in the analysis of partial differential equations and differential geometry. It discusses elementary concepts of surface geometry in higher-dimensionalEuclidean spaces, in p articular the differential equations of Gauss-Weingarten together with various integrability conditions and corresponding surface curvatures. It includes a chapter on curvature estimates for such surfaces, and,using results from potential theory and harmo nic analysis, it addresses geometric and analytic methods to establish the existence and regularity of Coulomb frames in their normal bundles, which arise as critical points for a functionalof total torsion |
Note: | Springer eBooks |
Contents: | Surface Geometry |
Elliptic Systems | |
Normal Coulomb Frames in R4 | |
Normal Coulomb Frames in Rn+2 | |
ISBN: | 9783642298462 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2053 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functions of complex variables , Differential equations, partial , Global differential geometry |
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Call number: | SPRINGER-2012-9783642275463:ONLINE Show nearby items on shelf |
Title: | Almost Periodic Solutions of Impulsive Differential Equations [electronic resource] |
Author(s): |
Gani T Stamov |
Date: | 2012 |
Publisher: | Berlin, Heidelberg : Springer Berlin Heidelberg |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Impulsive differential equations are suitable for the mathematical simulation of evolutionary processes in which the parameters undergo relatively long periods of smooth variation followed by short-term rapid changes (that is,jumps) in their values. Processes of this type are often investigated in various fields of science and technology. The question of the existence and uniqueness of almost periodic solutions of differential equations is an age-oldproblem of great importance. The qualitative theory of impulsive differential equations is currently undergoing rapid development in relation to the investigation of various processes which are subject to impacts during theirevolution, and many findings on the existence and uniqueness of almost periodic s olutions of these equations are being made. This book systematically presents findings related to almost periodic solutions of impulsive differentialequations and illustrates their potential applications |
Note: | Springer eBooks |
Contents: | 1 Impulsive Differential Equations and Almost Periodicity |
2 Almost Periodic Solutions | |
3 Lyapunov Method and Almost Periodicity | |
4 Applications | |
ISBN: | 9783642275463 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Lecture Notes in Mathematics, 0075-8434 : v2047 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional equations , Differential Equations |
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Call number: | SPRINGER-2012-9783034804141:ONLINE Show nearby items on shelf |
Title: | Spectral Analysis of Quantum Hamiltonians [electronic resource] : Spectral Days 2010 |
Author(s): |
Rafael Benguria Eduardo Friedman Marius Mantoiu |
Date: | 2012 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume contains surveys as well as research articles broadly centered on spectral analysis. Topics range from spectral continuity for magnetic and pseudodifferential operators to localization in random media, from thestability of matter to prope rties of Aharonov-Bohm and Quantum Hall Hamiltonians, from waveguides and resonances to supersymmetric models and dissipative fermion systems. This is the first of a series of volumes reporting every twoyears on recent progress in spectral theory |
Note: | Springer eBooks |
Contents: | Preface |
Asch/Bourget/Corts/: Resonant behaviors for some time dependent quantum systems: some remarks | |
Belmonte/Mntoiu: Continuity of Spectra in Rieffels Pseudodifferential Calculus | |
Benguria: Stability of Matter | |
Cornean/Purice: On the regularity of the Hausdorff distance between spectra of perturbed magnetic Hamiltonians | |
De Nittis/Panati: The topological Bloch | |
Floquet transform and some applications | |
Elgart/Krger/Tautenhahn/Veselic: Discrete Schrdinger operators with random alloy | |
type potential | |
Falomir/Pisani: Operator Domains and SUSY Breaking in a Model of SUSYQ | |
ISBN: | 9783034804141 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Operator Theory: Advances and Applications : v224 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Operator theory , Differential equations, partial |
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Call number: | SPRINGER-2012-9783034803700:ONLINE Show nearby items on shelf |
Title: | Sharp Martingale and Semimartingale Inequalities [electronic resource] |
Author(s): |
Adam Oskowski |
Date: | 2012 |
Publisher: | Basel : Springer Basel : Imprint: Birkhuser |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This monograph presents a unified approach to a certain class of semimartingale inequalities, which can be regarded as probabilistic extensions of classical estimates for conjugate harmonic functions on the unit disc. Theapproach, which has its roots in the seminal works of Burkholder in the 1980s, makes it possible to deduce a given inequality for semimartingales from the existence of a certain special function with some convex-type properties.Remarkably, an appropriate application of the method lea ds to the sharp version of the estimate under investigation, which is particularly important for applications. These include the theory of quasiregular mappings (with majorimplications for the geometric function theory) the boundedness of two-dimensional Hilbert transforms and a more general class of Fourier multipliers the theory of rank-one convex and quasiconvex functions and more. The book isdivided into a number of distinct parts. In the introductory chapter we present the motivation for the results and relate them to some classical problems in harmonic analysis. The next part contains a general description of the method,which is applied in subsequent chapters to the study of sharp estimates for discrete-time martingales discrete-time sub- and superm artingales continuous time processes and the square and maximal functions. Each chapter containsadditional bibliographical notes included for reference purposes |
Note: | Springer eBooks |
Contents: | Preface |
1. Introduction | |
2. Burkholders method | |
3. Martingale inequalities in discrete time | |
4. Sub | |
and supermartingale inequalities in discrete time | |
5. Inequalities in continuous time | |
6. Inequalities for orthogonal semimartingales | |
7. Maximal inequalities | |
8. Square function inequalities | |
Appendix | |
Bibliography | |
ISBN: | 9783034803700 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Monografie Matematyczne : v72 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Functional analysis , Potential theory (Mathematics) , Distribution (Probability theory) |
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Call number: | SPRINGER-2012-9781461444879:ONLINE Show nearby items on shelf |
Title: | An Introduction to Inverse Limits with Set-valued Functions [electronic resource] |
Author(s): |
W.T Ingram |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introduction dedicated specifically tosuch inverse limits. The theory is presented along with detailed examples which form the distinguishing feature of this work. The major differences between the theory of inverse limits with mappings and the theory with set-valuedfunctions are featured prominently in this boo k in a positive light. The reader is assumed to have taken a senior level course in analysis and a basic course in topology. Advanced undergraduate and graduate students, and researchersworking in this area will find this brief useful. |
Note: | Springer eBooks |
Contents: | 1. Basics |
2. Connectedness | |
3. Mapping verses Set | |
valued Functions | |
4. Mapping Theorems | |
5. Dimension | |
6. Problems.Index | |
ISBN: | 9781461444879 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | SpringerBriefs in Mathematics, 2191-8198 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differentiable dynamical systems , Differential Equations , Topology |
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Call number: | SPRINGER-2012-9781461442448:ONLINE Show nearby items on shelf |
Title: | Homogeneous Finsler Spaces [electronic resource] |
Author(s): |
Shaoqiang Deng |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This book is a unique addition to the existing literature in the field of Finsler geometry. This is the first monograph to deal exclusively with homogeneous Finsler geometry and to make serious use of Lie theory in the study ofthis rapidly developing field. The increasing activity in Finsler geometry can be attested in large part to the driving influence of S.S. Chern, its proven use in many fields of scientific study such as relativity, optics, geosciences,mathematical biology, and psychology, and i ts promising reach to real-world applications. This work has potential for broad readership it is a valuable resource not only for specialists of Finsler geometry, but also for differentialgeometers who are familiar with Lie theory, transformation groups, and homogeneous spaces. The exposition is rigorous, yet gently engages the readerstudent and researcher alikein developing a ground level understanding of thesubject. A one-term graduate course in differential geometry and elementary topology are prerequ isites. In order to enhance understanding, the author gives a detailed introduction and motivation for the topics of each chapter, as wellas historical aspects of the subject, numerous well-selected examples, and thoroughly proved main results. Comments f or potential further development are presented in Chapters 37. A basic introduction to Finsler geometry isincluded in Chapter 1 the essentials of the related classical theory of Lie groups, homogeneous spaces and groups of isometries are presented in Chap ters 23. Then the author develops the theory of homogeneous spaces within theFinslerian framework. Chapters 46 deal with homogeneous, symmetric and weakly symmetric Finsler spaces. Chapter 7 is entirely devoted to homogeneous Randers spaces, which are goo d candidates for real world applications andbeautiful illustrators of the developed theory |
Note: | Springer eBooks |
Contents: | Preface |
Acknowledgements | |
1. Introduction to Finsler Geometry | |
2. Lie Groups and Homogenous Spaces | |
3. The Group of Isometries | |
4. Homogeneous Finsler Spaces | |
5. Symmetric Finsler Spaces | |
6. Weakly Symmetric Finsler Spaces | |
7. Homogeneous Randers Spaces | |
References | |
Index. | |
ISBN: | 9781461442448 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Monographs in Mathematics, 1439-7382 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Global differential geometry |
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Call number: | SPRINGER-2012-9781461439271:ONLINE Show nearby items on shelf |
Title: | Global Optimization [electronic resource] : A Stochastic Approach |
Author(s): |
Stefan Schffler |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This self-contained monograph presents a new stochastic approach to global optimization problems arising in a variety of disciplines including mathematics, operations research, engineering, and economics. The volume deals withconstrained and unconstr ained problems and puts a special emphasis on large scale problems. It also introduces a new unified concept for unconstrained, constrained, vector, and stochastic global optimization problems. All methodspresented are illustrated by various examples. Pra ctical numerical algorithms are given and analyzed in detail. The topics presented include the randomized curve of steepest descent, the randomized curve of dominated points, thesemi-implicit Euler method, the penalty approach, and active set strategies. The optimal decoding of block codes in digital communications is worked out as a case study and shows the potential and high practical relevance of this newapproach. Global Optimization: A Stochastic Approach is an elegant account of a refined theory, s uitable for researchers and graduate students interested in global optimization and its applications |
Note: | Springer eBooks |
Contents: | Preface |
Introduction | |
Preliminaries | |
The Approach | |
Theoretical Results | |
The Algorithm | |
Numerical Results | |
References | |
Index | |
ISBN: | 9781461439271 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Series in Operations Research and Financial Engineering, 1431-8598 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Mathematical optimization |
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Call number: | SPRINGER-2012-9781461436881:ONLINE Show nearby items on shelf |
Title: | Problems in Probability [electronic resource] |
Author(s): |
Albert N Shiryaev |
Date: | 2012 |
Publisher: | New York, NY : Springer New York : Imprint: Springer |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | Problems in Probability comprises one of the most comprehensive, nearly encyclopedic, collections of problems and exercises in probability theory. Albert Shiryaev has skillfully created, collected, and compiled the exercisesin this text over the cour se of many years while working on topics which interested him the most. A substantial number of the exercises resulted from diverse sources such as textbooks, lecture notes, exercise manuals, monographs,and discussions that took place during special semin ars for graduate and undergraduate students. Many problems contain helpful hints and other relevant comments and a portion of the material covers some important applications fromoptimal control and mathematical finance. Readers of diverse backgroundsfrom students to researcherswill find a great deal of value in this book and can treat the work as an exercise manual, a handbook, or as a supplementary textto a course in probability theory, control, and mathematical finance. The problems and exercises in thi s book vary in nature and degree of difficulty. Some problems are meant to test the readers basic understanding, others are ofmedium-to-high degrees of difficulty and require more creative thinking. Other problems are meant to develop additional theoretic al concepts and tools or to familiarize the reader with various facts that are not necessarily covered inmainstream texts. Additional problems are related to the passage from random walk to Brownian motions and Brownian bridges. The appendix contains a su mmary of the main results, notation and terminology that are used throughout thebook. It also contains additional material from combinatorics, potential theory and Markov chainssubjects that are not covered in the book, but are nevertheless needed for man y of the exercises included here |
Note: | Springer eBooks |
Contents: | Preface |
1. Elementary Probability Theory | |
2. Mathematical Foundations of Probability Theory | |
3. Convergence of Probability Measures | |
4. Independent Random Variables | |
5. Stationary Random Sequences in Strict Sense | |
6. Stationary Random Sequences in Broad Sense | |
7. Martingales | |
8. Markov Chains | |
Appendix | |
References | |
ISBN: | 9781461436881 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Problem Books in Mathematics, 0941-3502 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Combinatorics , Distribution (Probability theory) |
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Call number: | SPRINGER-2012-9781461407096:ONLINE Show nearby items on shelf |
Title: | Buildings, Finite Geometries and Groups [electronic resource] : Proceedings of a Satellite Conference, International Congress of Mathematicians, Hyderabad, India, 2010 |
Author(s): |
N.S. Narasimha Sastry |
Date: | 2012 |
Publisher: | New York, NY : Springer New York |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This volume collects articles inspired by the Proceedings of the ICM 2010 Satellite Conference on Buildings, Finite Geometries and Groups organized at the Indian Statistical Institute, Bangalore, from August 29 31,2010. These contributors include so me of the most active researchers in areas related to finite simple groups, Chevalley groups and their generalizations: theory of buildings, finite incidence geometries, modular representations, Lietheory, and more. Contributions reflect the current major trends in research in the geometric and combinatorial aspects of the study of these groups. The unique perspective that the authors bring to their articles on currentdevelopments and major problems in their area is expected to be very useful to research mathematicians, graduate students and potential new entrants to these fields |
Note: | Springer eBooks |
Contents: | 1. On Characterizing Designs By Their Codes (B. Bagchi) |
2. The Geometry of Extremal Elements in a Lie Algebra (A.M. Cohen) | |
3. Properties of a 27 | |
dimensional Space of Symmetric Bilinear Forms Acted on by E6 (R. Gow) | |
4. On the Geometry of Global Function Fields, the Riemann | |
Roch Theorem, and Finiteness Properties of S | |
arithmetic Groups (R. Gramlich) | |
5. Some Remarks on Two | |
Transitive Permutation Groups as Multiplication Groups of Quasigroups (G. Hiss, F. Lbeck) | |
6. Curve Complexes Versus Tits Buildings: Structures and Applications (Lizhen Ji) | |
7. On Isotypies Between Galois Conj | |
ISBN: | 9781461407096 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Springer Proceedings in Mathematics, 2190-5614 : v10 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Geometry, algebraic , Cell aggregation Mathematics |
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Call number: | SPRINGER-2012-9781447129813:ONLINE Show nearby items on shelf |
Title: | Partial Differential Equations 1 [electronic resource] : Foundations and Integral Representations |
Author(s): |
Friedrich Sauvigny |
Date: | 2012 |
Edition: | 2nd ed. 2012 |
Publisher: | London : Springer London |
Size: | 1 online resource |
Note: | Springer e-book platform |
Note: | Springer 2013 e-book collections |
Note: | This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this first volume, special emphasis is placed ongeometric and complex vari able methods involving integral representations. The following topics are treated: integration and differentiation on manifolds foundations of functional analysis Brouwer's mapping degree generalized analytic functions potential theory and spherical h armonics linear partial differential equations This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior ofCauchys integral has been added. The second volume will present functional analytic methods and applications to problems in differential geometry. This textbook will be of particular use to graduate and postgraduate studentsinterested in this field and will be of interest to advanced undergraduate students. It may also be used for independent study |
Note: | Springer eBooks |
Contents: | Differentiation and Integration on Manifolds |
Foundations of Functional Analysis | |
Brouwers Degree of Mapping | |
Generalized Analytic Functions | |
Potential Theory and Spherical Harmonics | |
Linear Partial Differential Equations in Rn | |
ISBN: | 9781447129813 |
Series: | e-books |
Series: | SpringerLink (Online service) |
Series: | Universitext, 0172-5939 |
Series: | Mathematics and Statistics (Springer-11649) |
Keywords: | Mathematics , Differential equations, partial , Mathematical physics |
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