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SPIRES-BOOKS: FIND KEYWORD POTENTIAL THEORY MATHEMATICS *END*INIT* use /tmp/qspiwww.webspi1/22666.98 QRY 131.225.70.96 . find keyword "potential theory mathematics" ( in books using www Cover
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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

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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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Call number:SPRINGER-2014-9783319021324:ONLINE Show nearby items on shelf
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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Call number:SPRINGER-2013-9783642326660:ONLINE Show nearby items on shelf
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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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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