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SPIRES-BOOKS: FIND KEYWORD DYNAMICAL SYSTEMS AND ERGODIC THEORY *END*INIT* use /tmp/qspiwww.webspi1/7953.151 QRY 131.225.70.96 . find keyword dynamical systems and ergodic theory ( in books using www Cover
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Call number:9789811031809:ONLINE Show nearby items on shelf
Title:Bifurcation in Autonomous and Nonautonomous Differential Equations with Discontinuities
Author(s): Marat Akhmet
Date:2017
Size:1 online resource (XI, 166 p. 31 illus., 26 illus. in color p.)
Contents:Introduction -- Hopf Bifurcation in Impulsive Systems -- Hopf Bifurcation in Fillopov Systems -- Nonautonomous Transcritical and Pitchfork Bifurcations in an Impulsive Bernoulli Equations -- Nonautonomous Transcritical and Pitchfork
Bifurcations in Scalar Non-solvable Impulsive Differential Equations -- Nonautonomous Transcritical and Pitchfork Bifurcations in Bernoulli Equations with Piecewise Constant Argument of Generalized Type
ISBN:9789811031809
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Control engineering , Mathematics , Dynamical Systems and Ergodic Theory , Control , Applications of Nonlinear Dynamics and Chaos Theory , Difference and Functional Equations , Ordinary Differential Equations
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Call number:9783319517537:ONLINE Show nearby items on shelf
Title:Extended Abstracts Summer 2015 Strategic Behavior in Combinatorial Structures Quantitative Finance
Author(s):
Date:2017
Size:1 online resource (VI, 139 p. 5 illus., 3 illus. in color p.)
Contents:Part-I -- Foreword -- On the Push & Pull Protocol for Rumour Spreading -- Random Walks that Find Perfect Objects and the Lovasz Local Lemma -- Logit Dynamics with Concurrent Updates for Local Interaction Games -- Logit Dynamics with
Concurrent Updates for Local Interaction Games -- Carpooling in Social Networks -- Who to Trust for Truthful Facility Location? -- Metric and Spectral Properties of Dense Inhomogeneous Random Graphs -- On-Line List Colouring of Random
Graphs -- Approximation Algorithms for Computing Maximin Share Allocations -- An Alternate Proof of the Algorithmic Lovász Local Lemma -- Learning Game-Theoretic Equilibria via Query Protocols -- The Lower Tail: Poisson Approximation
Revisited -- Population Protocols for Majority in Arbitrary Networks -- The Asymptotic Value in Finite Stochastic Games -- Almost All 5-Regular Graphs Have a 3-Flow -- Part-II -- Foreword -- On the Short-Time Behaviour of the Implied
Volatility Skew for Spread Options and Applications -- An Alternative to CARMA Models via Iterations of Ornstein-Uhlenbeck Processes -- Euler-Poisson Schemes for Levy Processes -- On Time-Consistent Portfolios with Time-Inconsistent
Preferences -- A Generic Decomposition Formula for Pricing Vanilla Options under Stochastic Volatility Models -- A Highly Efficient Pricing Method for European-Style Options Based on Shannon Wavelets -- A New Pricing Measure in the
Barndor-Nielsen-Shephard Model for Commodity Markets
ISBN:9783319517537
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Mathematics , Dynamics , Ergodic theory , Differential equations , Actuarial science , Convex geometry , Discrete geometry , Probabilities , Combinatorics , Mathematics , Combinatorics , Ordinary Differential Equations , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry , Probability Theory and Stochastic Processes , Actuarial Sciences
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Call number:9783319465746:ONLINE Show nearby items on shelf
Title:Optimal Trajectory Tracking of Nonlinear Dynamical Systems
Author(s): Jakob Löber
Date:2017
Size:1 online resource (XIV, 243 p. 36 illus., 32 illus. in color p.)
Contents:Introduction -- Exactly Realizable Trajectories -- Optimal Control -- Analytical Approximations for Optimal Trajectory Tracking -- Control of Reaction-Diffusion System
ISBN:9783319465746
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Dynamics , Ergodic theory , Calculus of variations , Vibration , Dynamical systems , Physics , Applications of Nonlinear Dynamics and Chaos Theory , Calculus of Variations and Optimal Control Optimization , Vibration, Dynamical Systems, Control , Dynamical Systems and Ergodic Theory
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Call number:9783319435220:ONLINE Show nearby items on shelf
Title:The Lidov-Kozai Effect - Applications in Exoplanet Research and Dynamical Astronomy
Author(s): Ivan I Shevchenko
Date:2017
Size:1 online resource (XI, 194 p. 39 illus., 8 illus. in color p.)
Contents:Preface -- Historical Background -- Secular Theories in Celestial Mechanics -- LKE: Classical Results -- LKE: The Theory Advances -- Understanding Irregular Satellites -- Sungrazing Comets -- Asteroids and Kuiper Belt Objects in
Inclined Orbits -- The Role in Sculpting Exoplanetary Systems -- Applications in Stellar Dynamics -- References
ISBN:9783319435220
Series:eBooks
Series:Springer eBooks
Series:Springer 2017 package
Keywords: Physics , Planetology , Dynamics , Ergodic theory , Astrophysics , Physics , Astrophysics and Astroparticles , Dynamical Systems and Ergodic Theory , Applications of Nonlinear Dynamics and Chaos Theory , Planetology , Space Sciences (including Extraterrestrial Physics, Space Exploration and Astron
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Call number:SPRINGER-2016-9789462391246:ONLINE Show nearby items on shelf
Title:Lyapunov Exponents of Linear Cocycles Continuity via Large Deviations
Author(s): Pedro Duarte
Date:2016
Edition:1st ed. 2016
Size:1 online resource (263 p.)
Note:10.2991/978-94-6239-124-6
Contents:Introduction -- Estimates on Grassmann Manifolds -- Abstract Continuity of Lyapunov Exponents -- The Oseledets Filtration and Decomposition -- Large Deviations for Random Cocycles -- Large Deviations for Quasi-Periodic Cocycles -- Further Related P roblems
ISBN:9789462391246
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Atlantis Studies in Dynamical Systems : 3
Keywords: Mathematics , Dynamics , Ergodic theory , Mathematical physics , Mathematics , Dynamical Systems and Ergodic Theory , Mathematical Physics
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Call number:SPRINGER-2016-9784431561040:ONLINE Show nearby items on shelf
Title:Mathematical Challenges in a New Phase of Materials Science Kyoto, Japan, August 2014
Author(s):
Date:2016
Size:1 online resource (21 p.)
Note:10.1007/978-4-431-56104-0
ISBN:9784431561040
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Springer Proceedings in Mathematics & Statistics: 166
Keywords: Mathematics , Dynamics , Ergodic theory , Partial differential equations , Convex geometry , Discrete geometry , Physics , Mathematics , Partial Differential Equations , Mathematical Methods in Physics , Dynamical Systems and Ergodic Theory , Convex and Discrete Geometry
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Call number:SPRINGER-2016-9783662526934:ONLINE Show nearby items on shelf
Title:Orbital Dynamics in the Gravitational Field of Small Bodies
Author(s): Yang Yu
Date:2016
Size:1 online resource (17 p.)
Note:10.1007/978-3-662-52693-4
Contents:Introduction -- SSSB Model and equations of motion -- Stability of equilibrium points and the local behavior of orbits -- Topology and stability of large-scale periodic orbits -- Resonant orbit near the equatorial plane -- Free motion
of a particle close to the surface of SSSBs -- Conclusions and future directions
ISBN:9783662526934
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Physics , Computer simulation , Dynamics , Ergodic theory , Mechanics , Astrophysics , Statistical physics , Aerospace engineering , Astronautics , Physics , Astrophysics and Astroparticles , Aerospace Technology and Astronautics , Dynamical Systems and Ergodic Theory , Simulation and Modeling , Nonlinear Dynamics , Mechanics
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Call number:SPRINGER-2016-9783319392868:ONLINE Show nearby items on shelf
Title:Operator Algebras and Applications The Abel Symposium 2015
Author(s):
Date:2016
Size:1 online resource (2 p.)
Note:10.1007/978-3-319-39286-8
Contents:C*-tensor categories and subfactors for totally disconnected groups: Y. Arano and S. Vaes -- Decomposable approximations revisited: N.P. Brown, J.R. Carrión and S. White -- Exotic crossed products: A. Buss, S. Echterhoff, and R. Willett -- On Hong and Szymanski’s description of the primitive-ideal space of a graph algebra: T. M. Carlsen and A. Sims -- Commutator inequalities via Schur products: E. Christensen -- C*-algebras associated with algebraic actions: J. Cuntz -- A new look at C*-simplicit y and the unique trace property of a group: U. Haagerup -- Equilibrium states on graph algebras: A. an Huef and I. Raeburn -- Semigroup C_-algebras: X. Li -- Topological full groups of étale groupoids: H. Matui -- Towards a classification of compact quan tum groups of Lie type: S. Neshveyev and M. Yamashita -- A homology theory for Smale spaces: a summary: I.F. Putnam -- On the positive eigenvalues and eigenvectors of a non-negative matrix: K. Thomsen -- Classification of graph algebras: a
selective survey: M. Tomforde -- QDQ vs. UCT: W. Winter
ISBN:9783319392868
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Abel Symposia: 12
Keywords: Mathematics , K-theory , Dynamics , Ergodic theory , Functional analysis , Mathematical physics , Mathematics , Functional Analysis , Dynamical Systems and Ergodic Theory , K-Theory , Mathematical Physics
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Call number:SPRINGER-2016-9783319320625:ONLINE Show nearby items on shelf
Title:Stability and Boundary Stabilization of 1-D Hyperbolic Systems
Author(s): Georges Bastin
Date:2016
Size:1 online resource (31 p.)
Note:10.1007/978-3-319-32062-5
Contents:Hyperbolic Systems of Balance Laws -- Systems of Two Linear Conservation Laws -- Systems of Linear Conservation Laws -- Systems of Nonlinear Conservation Laws -- Systems of Linear Balance Laws -- Quasi-Linear Hyperbolic Systems -- Backstepping Cont rol -- Case Study: Control of Navigable Rivers -- Appendices -- References -- Index
ISBN:9783319320625
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Progress in Nonlinear Differential Equations and Their Applications: 88
Keywords: Mathematics , Dynamics , Ergodic theory , Partial differential equations , System theory , Mathematical physics , Vibration , Dynamical systems , Mathematics , Partial Differential Equations , Dynamical Systems and Ergodic Theory , Systems Theory, Control , Mathematical Applications in the Physical Sciences , Vibration, Dynamical Systems, Control
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Call number:SPRINGER-2016-9783319320434:ONLINE Show nearby items on shelf
Title:The Mathematics Behind Biological Invasions
Author(s): Mark A Lewis
Date:2016
Size:1 online resource (19 p.)
Note:10.1007/978-3-319-32043-4
Contents:Introduction.-Dynamics of Biological Invasions.-Reaction-Diffusion Models: Single Species -- Invasion in a Multispecies System -- Long-Distance Dispersal and Spread -- A User’s Guide to Integrodifference Models for Invasive Spread -- Stochasticit y and Invasion Dynamics -- Stochastic Spread -- Assessing Invasion Risk -- Responding to invasions: Detection, control, and adaptation -- Appendix.-References.-Index
ISBN:9783319320434
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Interdisciplinary Applied Mathematics: 44
Keywords: Mathematics , Dynamics , Ergodic theory , Partial differential equations , Biomathematics , Statistics , Mathematics , Mathematical and Computational Biology , Statistics for Life Sciences, Medicine, Health Sciences , Genetics and Population Dynamics , Dynamical Systems and Ergodic Theory , Partial Differential Equations
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Call number:SPRINGER-2016-9783319313382:ONLINE Show nearby items on shelf
Title:Essays in Mathematics and its Applications In Honor of Vladimir Arnold
Author(s):
Date:2016
Size:1 online resource (22 p.)
Note:10.1007/978-3-319-31338-2
Contents:A new way to compute the Rodrigues coefficients of functions of the Lie groups of matrices (D. Andrica, O.L. Chender) -- Quasimodes in integrable systems and semi-classical limit (M. Baldo, F. Raciti) -- Manifolds which are complex and symplectic bu t not Kahler (G. Bazzoni, V. Munoz) -- Solvability of a non clamped frictional contact problem with adhesion (O. Chau, D. Goeleven, R. Oujja) -- The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence (A. Fortunati, S. Wi ggins) -- Iterative Methods for the Elastography Inverse Problem of Locating Tumors (B. Jadamba, A.A. Khan, F. Raciti, C. Tammer, B. Winkler) -- Transversality theory with applications to differential equations (D. Motreanu, V.V. Motreanu) -- Lattice-like subsets of Euclidean Jordan algebras (A.B. Nemeth, S.Z. Nemeth) -- Simultaneous Diophantine approximation: Searching for analogues of Hurwitz’ theorem (W.G. Nowak) -- On the fixed points of a Hamiltonian diffeomorphism in presence of
fundamental group (K. Ono, A. Pajitnov) -- Some Generalizations of Fixed Point Theorems on S-Metric Spaces (N.Y. Ozgur, N.A. Tas) -- Functional Inequalities in Banach Spaces and Fuzzy Banach Spaces (C. Park, J.R. Lee, T.M. Rassias) -- The Maslov Ind ex in PDEs Geometry (A. Prastaro) -- On the infimum of certain functionals (B. Ricceri) -- The Algebra of Gyrogroups: Cayley Theorem, Lagrange Theorem, and Isomorphism Theorems (T. Suksumran) -- Mild continuity properties of relations and relators in rela tor spaces (A. Szaz, A. Zakaria) -- Contraction Maps in Pseudometric Structures (M. Turinici) -- Novel Tools to Determine Hyperbolic Triangle Centers (A.A. Ungar)
ISBN:9783319313382
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Dynamics , Ergodic theory , Global analysis (Mathematics) , Manifolds (Mathematics) , Algebraic topology , Complex manifolds , Mathematics , Dynamical Systems and Ergodic Theory , Algebraic Topology , Manifolds and Cell Complexes (incl. Diff.Topology) , Global Analysis and Analysis on Manifolds
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Call number:SPRINGER-2016-9783319296623:ONLINE Show nearby items on shelf
Title:The Parameterization Method for Invariant Manifolds From Rigorous Results to Effective Computations
Author(s): Àlex Haro
Date:2016
Size:1 online resource (55 p.)
Note:10.1007/978-3-319-29662-3
Contents:An Overview of the Parameterization Method for Invariant Manifolds -- Seminumerical Algorithms for Computing Invariant Manifolds of Vector Fields at Fixed Points -- The Parameterization Method for Quasi-Periodic Systems: From Rigorous Results to Va lidated Numerics -- The Parameterization Method in KAM Theory -- A Newton-like Method for Computing Normally Hyperbolic Invariant Tori
ISBN:9783319296623
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Applied Mathematical Sciences: 195
Keywords: Mathematics , Dynamics , Ergodic theory , Partial differential equations , Numerical analysis , Statistical physics , Dynamical systems , Mathematics , Dynamical Systems and Ergodic Theory , Statistical Physics, Dynamical Systems and Complexity , Numerical Analysis , Partial Differential Equations
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Call number:SPRINGER-2016-9783319290751:ONLINE Show nearby items on shelf
Title:Divergent Series, Summability and Resurgence II Simple and Multiple Summability
Author(s): Michèle Loday-Richaud
Date:2016
Size:1 online resource (272 p.)
Note:10.1007/978-3-319-29075-1
Contents:Avant-propos -- Preface to the three volumes -- Introduction to this volume -- 1 Asymptotic Expansions in the Complex Domain -- 2 Sheaves and Čech cohomology -- 3 Linear Ordinary Differential Equations -- 4 Irregularity and Gevrey Index Theorems - - 5 Four Equivalent Approaches to k-Summability -- 6 Tangent-to-Identity Diffeomorphisms -- 7 Six Equivalent Approaches to Multisummability -- Exercises -- Solutions to Exercises -- Index -- Glossary of Notations -- References
ISBN:9783319290751
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Lecture Notes in Mathematics: 2154
Keywords: Mathematics , Difference equations , Functional equations , Dynamics , Ergodic theory , Differential equations , Sequences (Mathematics) , Mathematics , Sequences, Series, Summability , Ordinary Differential Equations , Difference and Functional Equations , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2016-9783319290256:ONLINE Show nearby items on shelf
Title:Nonautonomous Linear Hamiltonian Systems: Oscillation, Spectral Theory and Control
Author(s): Russell Johnson
Date:2016
Edition:1st ed. 2016
Size:1 online resource (497 p.)
Note:10.1007/978-3-319-29025-6
Contents:Nonautonomous linear Hamiltonian systems -- The rotation number and the Lyapunov index for real nonautonomous linear Hamiltonian systems -- The Floquet coeffcient for nonautonomous linear Hamiltonian systems: Atkinson problems -- The Weyl functions -- Weak disconjugacy for linear Hamiltonian systems -- Nonautonomous control theory. Linear regulator problem and the Kalman-Bucy filter -- Nonautonomous control theory. A general version of the Yakubovich Frequency Theorem -- Nonautonomous control theor y. Linear-quadratic dissipative control processes -- Index -- References
ISBN:9783319290256
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Developments in Mathematics: 36
Keywords: Mathematics , Dynamics , Ergodic theory , Differential equations , System theory , Mathematics , Dynamical Systems and Ergodic Theory , Ordinary Differential Equations , Systems Theory, Control
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Call number:SPRINGER-2016-9783319277608:ONLINE Show nearby items on shelf
Title:Navier–Stokes Equations An Introduction with Applications
Author(s): Grzegorz Łukaszewicz
Date:2016
Size:1 online resource (390 p.)
Note:10.1007/978-3-319-27760-8
Contents:Introduction and summary -- Equations of classical hydrodynamics -- Mathematical preliminaries -- Stationary solutions of the Navier–Stokes equations -- Stationary solutions of the Navier–Stokes equations with friction -- Stationary flows in na rrow films and the Reynolds equation -- Autonomous two-dimensional Navier–Stokes equations -- Invariant measures and statistical solutions -- Global attractors and a lubrication problem -- Exponential attractors in contact problems -- Non-autonomous Nav ier–Stokes equations and pullback attractors -- Pullback attractors and statistical solutions -- Pullback attractors and shear flows -- Trajectory attractors and feedback boundary control in contact problems.-Evolutionary systems and the Navier–Stokes equations -- Attractors for multivalued processes in contact problems -- References -- Index
ISBN:9783319277608
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Dynamics , Ergodic theory , Differential equations , Partial differential equations , Fluid mechanics , Mathematics , Partial Differential Equations , Ordinary Differential Equations , Dynamical Systems and Ergodic Theory , Engineering Fluid Dynamics
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Call number:SPRINGER-2016-9783319276663:ONLINE Show nearby items on shelf
Title:The Spectrum of Hyperbolic Surfaces
Author(s): Nicolas Bergeron
Date:2016
Edition:1st ed. 2016
Size:1 online resource (370 p.)
Note:10.1007/978-3-319-27666-3
Contents:Preface -- Introduction -- Arithmetic Hyperbolic Surfaces -- Spectral Decomposition -- Maass Forms -- The Trace Formula -- Multiplicity of lambda1 and the Selberg Conjecture -- L-Functions and the Selberg Conjecture -- Jacquet-Langlands Corresponde nce -- Arithmetic Quantum Unique Ergodicity -- Appendices -- References -- Index of notation -- Index -- Index of names
ISBN:9783319276663
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Mathematics , Harmonic analysis , Dynamics , Ergodic theory , Hyperbolic geometry , Mathematics , Hyperbolic Geometry , Abstract Harmonic Analysis , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2016-9783319266411:ONLINE Show nearby items on shelf
Title:Dynamical Systems on Networks A Tutorial
Author(s): Mason Porter
Date:2016
Size:1 online resource (80 p.)
Note:10.1007/978-3-319-26641-1
Contents:Introduction: How Does Nontrivial Network Connectivity Affect Dynamical Processes on Networks -- A Few Basic Concepts -- Examples of Dynamical Systems -- General Considerations -- Software Implementation -- Dynamical Systems on Dynamical Networks - - Other Resources -- Conclusion, Outlook, and Open Problems -- Appendix
ISBN:9783319266411
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Frontiers in Applied Dynamical Systems: Reviews and Tutorials: 4
Keywords: Mathematics , Systems biology , Dynamics , Ergodic theory , Biological systems , Physics , Mathematics , Dynamical Systems and Ergodic Theory , Complex Networks , Biological Networks, Systems Biology , Systems Biology
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Call number:SPRINGER-2016-9783319242989:ONLINE Show nearby items on shelf
Title:Recent Trends in Combinatorics
Author(s):
Date:2016
Size:1 online resource (14 p.)
Note:10.1007/978-3-319-24298-9
Contents:Section 1: Extremal and Probabilistic Combinatorics -- Problems Related to Graph Indices in Trees -- The edit distance in graphs: methods, results and generalizations -- Repetitions in graphs and sequences -- On Some Extremal Problems for Cycles in Graphs -- A survey of Turan problems for expansions -- Survey on matching, packing and Hamilton cycle problems on hypergraphs -- Rainbow Hamilton cycles in random graphs and hypergraphs -- Further applications of the Container Method -- Independent transv ersals and hypergraph matchings - an elementary approach -- Giant components in random graphs -- Infinite random graphs and properties of metrics -- Nordhaus-Gaddum Problems for Colin de Verdière Type Parameters, Variants of Tree-width, and Related Param eters -- Algebraic aspects of the normalized Laplacian -- Poset-free Families of Subsets.- Mathematics of causal sets -- Section 2: Additive and Analytic Combinatorics -- Lectures on Approximate groups and Hilbert's 5th Problem -- Character
sums and arithmetic combinatorics -- On sum-product problem -- Ajtai-Szemerédi Theorems over quasirandom groups -- Section 3: Enumerative and Geometric Combinatorics -- Moments of orthogonal polynomials and combinatorics -- The combinatorics of kno t invariants arising from the study of Macdonald polynomials -- Some algorithmic applications of partition functions in combinatorics -- Partition Analysis, Modular Functions, and Computer Algebra -- A survey of consecutive patterns in permutations -- Uni modality Problems in Ehrhart Theory -- Face enumeration on simplicial complexes -- Simplicial and Cellular Trees -- Parametric Polyhedra with at least k Lattice Points: Their Semigroup Structure and the k-Frobenius Problem.- Dynamical Algebraic Combinator ics and the Homomesy Phenomenon
ISBN:9783319242989
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:The IMA Volumes in Mathematics and its Applications: 159
Keywords: Mathematics , Dynamics , Ergodic theory , Functional analysis , Convex geometry , Discrete geometry , Combinatorics , Biomathematics , Mathematics , Combinatorics , Convex and Discrete Geometry , Dynamical Systems and Ergodic Theory , Functional Analysis , Genetics and Population Dynamics
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Call number:SPRINGER-2016-9783319239866:ONLINE Show nearby items on shelf
Title:Astrodynamics Network AstroNet-II The Final Conference
Author(s):
Date:2016
Size:1 online resource (159 p.)
Note:10.1007/978-3-319-23986-6
Contents:Leveraging discrete variational mechanics to explore the effect of an autonomous three-body interaction added to the restricted problem -- An efficient sub-optimal motion planning method for attitude manoeuvres -- Bifurcations
thresholds of halo orbits -- Unconventional solar sailing -- Two-body approximations in the design of low-energy transfers between Galilean moons -- Artificial equilibria in the RTBP for a solar sail and applications -- Terminal entry
phase trajectory generator for reusable launch vehicles -- Two ASRE approaches with application to spacecraft Coulomb formations -- Novel approach on the optimisation of mid-course corrections along interplanetary trajectories --
Vision-based navigation around small bodies -- Analytical and semianalytical propagation of space orbits: the role of polar-nodal variables -- Small spacecraft formation flying using solar radiation pressure -- A note on dynamics about
the coherent Sun–Earth–Moon collinear libration points -- The Trojan problem from a Hamiltonian perturbative perspective.-On distributed control strategies for spacecraft formation flying -- Formation flying guidance for space debris
observation, manipulation and capture -- Low thrust relative motion control of satellite formations in deep space -- Efficient modelling of small bodies gravitational potential for autonomous proximity operations -- Sun-Earth L1 and L2
to Moon transfers exploiting natural dynamics -- An introduction to differential algebra and the differential algebra manifold representation -- Identification of new orbits to enable future missions for the exploration of the Martian
moon Phobos
ISBN:9783319239866
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Series:Astrophysics and Space Science Proceedings: 44
Keywords: Physics , Dynamics , Ergodic theory , Space sciences , Aerospace engineering , Astronautics , Physics , Extraterrestrial Physics, Space Sciences , Aerospace Technology and Astronautics , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2016-9783319227269:ONLINE Show nearby items on shelf
Title:The Three-body Problem from Pythagoras to Hawking
Author(s): Mauri Valtonen
Date:2016
Size:1 online resource (70 p.)
Note:10.1007/978-3-319-22726-9
Contents:1 Classical problems -- 2 From Newton to Einstein: the discovery of laws of motion and gravity -- 3 From comets to chaos -- 4 Fractals, entropy and arrow of time -- 5 Solar System -- 6 Interacting galaxies -- 7 Three body problem in
perspective -- 8 Black holes and quasars
ISBN:9783319227269
Series:eBooks
Series:SpringerLink (Online service)
Series:Springer eBooks
Keywords: Popular works , Dynamics , Ergodic theory , Physics , Gravitation , Mechanics , Astrophysics , Astronomy , Popular Science , Popular Science in Astronomy , Classical and Quantum Gravitation, Relativity Theory , Dynamical Systems and Ergodic Theory , Astrophysics and Astroparticles , Mechanics , Mathematical Methods in Physics
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Call number:SPRINGER-2014-9784431551089:ONLINE Show nearby items on shelf
Title:Weakly Wandering Sequences in Ergodic Theory [electronic resource]
Author(s): Stanley Eigen
Arshag Hajian
Yuji Ito
Vidhu Prasad
Date:2014
Publisher:Tokyo : Springer Japan : Imprint: Springer
Size:1 online resource
Note:The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant anddeep properties of ergo dic transformations that preserve an infinite measure. This monograph studies in a systematic way the role of ww and related sequences in the classification of ergodic transformations preserving an infinitemeasure. Connections of these sequences to additi ve number theory and tilings of the integers are also discussed. The material presented is self-contained and accessible to graduate students. A basic knowledge of measure theory isadequate for the reader
ISBN:9784431551089
Series:eBooks
Series:SpringerLink
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Number theory
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Call number:SPRINGER-2014-9783662439203:ONLINE Show nearby items on shelf
Title:Geometry and Analysis of Fractals [electronic resource] : Hong Kong, December 2012
Author(s): De-Jun Feng
Ka-Sing Lau
Date:2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This volume collects thirteen expository or survey articles on topics including Fractal Geometry, Analysis of Fractals, Multifractal Analysis, Ergodic Theory and Dynamical Systems, Probability and Stochastic Analysis, written bythe leading experts in their respective fields. The articles are based on papers presented at the International Conference on Advances on Fractals and Related Topics, held on December 10-14, 2012 at the Chinese University of Hong Kong.The volume offers insights into a number o f exciting, cutting-edge developments in the area of fractals, which has close ties to and applications in other areas such as analysis, geometry, number theory, probability and mathematicalphysics.
Contents:Mandelbrot cascades and related topics
Law of pure types and some exotic spectra of fractal spectral measures
The role of transfer operators and shifts in the study of fractals: encoding
models, analysis and geometry, commutative and non
commutative
Generalized energy inequalities and higher multifractal moments
Some Aspects of Multifractal analysis
Heat kernels on metric measure spaces
Stochastic completeness of jump processes on metric measure spaces
Self similar sets, entropy and additive combinatorics
Quasisymmetric modification of metrics on self
similar sets
Re
ISBN:9783662439203
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v88
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Distribution (Probability theory)
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Call number:SPRINGER-2014-9783642405235:ONLINE Show nearby items on shelf
Title:An Introduction to Markov Processes [electronic resource]
Author(s): Daniel W Stroock
Date:2014
Edition:2nd ed. 2014
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
Size:1 online resource
Note:This book provides a rigorous but elementary introduction to the theory of Markov Processes on a countable state space. It should be accessible to students with a solid undergraduate background in mathematics, including studentsfrom engineering, econ omics, physics, and biology. Topics covered are: Doeblin's theory, general ergodic properties, and continuous time processes.Applications are dispersed throughout the book. In addition, a whole chapter isdevoted to reversible processes and the use of thei r associated Dirichlet forms to estimate the rate of convergence to equilibrium. These results are then applied to the analysis of the Metropolis (a.k.a simulated annealing) algorithm.The corrected and enlarged 2nd edition contains a new chapter in which the author develops computational methods for Markov chains on a finite state space. Most intriguing isthe section with a new technique for computing stationarymeasures, which is applied to derivations of Wilson's algorithm and Kirchoff's formula for span ning trees in a connected graph
Contents:Preface
Random Walks, a Good Place to Begin
Doeblin's Theory for Markov Chains
Stationary Probabilities
More about the Ergodic Theory of Markov Chains
Markov Processes in Continuous Time
Reversible Markov Processes
A minimal Introduction to Measure Theory
Notation
References
Index
ISBN:9783642405235
Series:eBooks
Series:SpringerLink
Series:Graduate Texts in Mathematics, 0072-5285 : v230
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Distribution (Probability theory)
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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-2014-9783319048079:ONLINE Show nearby items on shelf
Title:Analytic and Probabilistic Approaches to Dynamics in Negative Curvature [electronic resource]
Author(s): Franoise Dal'Bo
Marc Peign
Andrea Sambusetti
Date:2014
Publisher:Cham : Springer International Publishing : Imprint: Springer
Size:1 online resource
Note:The work of E. Hopf and G.A. Hedlund, in the 1930s, on transitivity and ergodicity of the geodesic flow for hyperbolic surfaces, marked the beginning of the investigation of the statistical properties and stochastic behavior ofthe flow. The first cen tral limit theorem for the geodesic flow was proved in the 1960s by Y. Sinai for compact hyperbolic manifolds. Since then, strong relationships have been found between the fields of ergodic theory, analysis, andgeometry. Different approaches and new tools have been developed to study the geodesic flow, including measure theory, thermodynamic formalism, transfer operators, Laplace operators, and Brownian motion. All these different points ofview have led to a deep understanding of more general dynamical sy stems, in particular the so-called Anosov systems, with applications to geometric problems such as counting, equirepartition, mixing, and recurrence properties of theorbits. This book comprises two independent texts that provide a self-contained introduct ion to two different approaches to the investigation of hyperbolic dynamics. The first text, by S. Le Borgne, explains the method of martingalesfor the central limit theorem. This approach can be used in several situations, even for weakly hyperbolic flow s, and the author presents a good number of examples and applications to equirepartition and mixing. The second text, by F.Faure and M. Tsujii, concerns the semiclassical approach, by operator theory: chaotic dynamics is described through the spectrum of the associated transfer operator, with applications to the asymptotic counting of periodic orbits. Thebook will be of interest for a broad audience, from PhD and Post-Doc students to experts working on geometry and dynamics
ISBN:9783319048079
Series:eBooks
Series:SpringerLink
Series:Springer INdAM Series, 2281-518X : v9
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Operator theory , Global differential geometry , Distribution (Probability theory)
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Call number:SPRINGER-2014-9781493904198:ONLINE Show nearby items on shelf
Title:Ergodic Theory, Open Dynamics, and Coherent Structures [electronic resource]
Author(s): Wael Bahsoun
Christopher Bose
Gary Froyland
Date:2014
Publisher:New York, NY : Springer New York : Imprint: Springer
Size:1 online resource
Note:This book is comprised of selected research articles developed from a workshop onErgodic Theory, Probabilistic Methods and Applications, held in April 2012 at the BanffInternational Research Station.It contains contributionsfrom world leading experts in ergodic theory, dynamical systems, numerical analysis, fluid dynamics, and networks.The volume will serve asa valuable reference for mathematicians, physicists, engineers, physical oceanographers,atmospheric scientists, biologists, and climate scientis ts, who currently use, or wish to learn how to use, probabilistic techniques to cope with dynamical models that display open, coherent, or non-equilibrium behavior
Contents:1. Nonautonomous flows as open dynamical systems: characterising escape rates and time
varying boundaries
2. Eigenvalues of transfer operators for dynamical systems with holes
3. Periodic points, escape rates and escape measures
4. A multi
time step method to compute optical flow with scientific priors for observations of a fluidic system
5. Numerical approximation of conditionally invariant measures via maximum entropy
6. Lebesgue ergodicity of a dissipative subtractive algorithm
7. Improved estimates of survival probabilities via isospectral transformations
8. Dispersing
ISBN:9781493904198
Series:eBooks
Series:SpringerLink
Series:Springer Proceedings in Mathematics & Statistics, 2194-1009 : v70
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Mathematical optimization , Distribution (Probability theory)
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Call number:SPRINGER-2013-9781447148357:ONLINE Show nearby items on shelf
Title:Dynamical Systems [electronic resource] : An Introduction
Author(s): Luis Barreira
Claudia Valls
Date:2013
Publisher:London : Springer London : Imprint: Springer
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compactintroduction. Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. In particular, the authors consider topological recurrence, topological entropy,homeomorphisms and diffeomorphisms of the circle, S harkovski's ordering, the Poincar-Bendixson theory, and the construction of stable manifolds, as well as an introduction to geodesic flows and the study of hyperbolicity (the latteris often absent in a first introduction). Moreover, the authors introduce the basics of symbolic dynamics, the construction of symbolic codings, invariant measures, Poincar's recurrence theorem and Birkhoff's ergodic theorem. Theexposition is mathematically rigorous, concise and direct: all statements (except for some results f rom other areas) are proven. At the same time, the text illustrates the theory with many examples and 140 exercises of variable levelsof difficulty. The only prerequisites are a background in linear algebra, analysis and elementary topology. This is a tex tbook primarily designed for a one-semester or two-semesters course at the advanced undergraduate or beginninggraduate levels. It can also be used for self-study and as a starting point for more advanced topics
Note:Springer eBooks
Contents:Introduction
Basic Notions and Examples
Topological Dynamics
Low
Dimensional Dynamics
Hyperbolic Dynamics I
Hyperbolic Dynamics II
Symbolic Dynamics
Ergodic Theory
ISBN:9781447148357
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Global analysis , Differential Equations
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Call number:SPRINGER-2013-9780817684006:ONLINE Show nearby items on shelf
Title:Further Developments in Fractals and Related Fields [electronic resource] : Mathematical Foundations and Connections
Author(s): Julien Barral
Stphane Seuret
Date:2013
Publisher:Boston : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, Fractals and Related Fields II, held in June 2011. The book provides readers with anoverview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications. The chapters cover fieldsrelated to fractals such as: *geometric measure theory *ergodic theory *dynamical systems *harmonic and functional analysis *number theory *probability theory Further Developments in Fractals and Related Fields is aimed at pure andapplied mathematicians working in the above-mentioned areas as well as other researchers interested in discovering the fractal domain. Throughout the volume, readers will find interesting and motivating results as well as new avenuesfor further research
Note:Springer eBooks
Contents:The Rauzy Gasket
On the Hausdorff Dimension of Graphs ofPrevalent Continuous Functions on Compact Sets
Hausdorff Dimension and Diophantine Approximation
Singular Integrals on Self
Similar Subsets ofMetric Groups
Multivariate Davenport Series
Dimensions of Self
Affine Sets
The Multifractal Spectra of V
Statistics
Projections of Measures Invariant Under theGeodesic Flow
Multifractal Tubes
The Multiplicative Golden Mean Shift has Infinite Hausdorff Measure
The Law of Iterated Logarithm and Equilibrium Measures Versus Hausdorff Measures For Dynamically Semi
Regu
ISBN:9780817684006
Series:e-books
Series:SpringerLink (Online service)
Series:Trends in Mathematics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Harmonic analysis , Differentiable dynamical systems , Functional analysis , Differential equations, partial , Geometry , Distribution (Probability theory)
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Call number:SPRINGER-2012-9783642280900:ONLINE Show nearby items on shelf
Title:Ergodic Theory, Hyperbolic Dynamics and Dimension Theory [electronic resource]
Author(s): Luis Barreira
Date:2012
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Over the last two decades, the dimension theory of dynamical systems has progressively developed into an independent and extremely active field of research. The main aim of this volume is to offer a unified, self-containedintroduction to the interpla y of these three main areas of research: ergodic theory, hyperbolic dynamics, and dimension theory. It starts with the basic notions of the first two topics and ends with a sufficiently high-levelintroduction to the third. Furthermore, it includes an intr oduction to the thermodynamic formalism, which is an important tool in dimension theory. The volume is primarily intended for graduate students interested in dynamical systems,as well as researchers in other areas who wish to learn about ergodic theory, t hermodynamic formalism, or dimension theory of hyperbolic dynamics at an intermediate level in a sufficiently detailed manner. In particular, it can be usedas a basis for graduate courses on any of these three subjects. The text can also be used for self- study: it is self-contained, and with the exception of some well-known basic facts from other areas, all statements include detailedproofs
Note:Springer eBooks
Contents:Preface
I Ergodic Theory
1.Basic Notions and Examples
2.Further Topics
II Entropy and Pressure
3.Metric Entropy and Topological Entropy
4.Thermodynamic Formalism. III Hyperbolic Dynamics
5.Basic Notions and Examples
6.Invariant Manifolds and Markov Partitions
IV Dimension Theory
7.Basic Notions and Examples
8.Dimension Theory of Hyperbolic Dynamics
A Notions from Measure Theory
Bibliography
Index
ISBN:9783642280900
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems
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Call number:SPRINGER-2012-9783642236167:ONLINE Show nearby items on shelf
Title:Waves and Structures in Nonlinear Nondispersive Media [electronic resource]
Author(s): S. N. Gurbatov
O. V. Rudenko
A. I. Saichev
Date:2012
Publisher:Springer Berlin Heidelberg
Size:1 online resource
Note:Monograph
Note:Springer 2012 Physics and Astronomy eBook collection
Note:Springer e-book platform
ISBN:9783642236167
Series:Nonlinear Physical Science
Series:e-books
Keywords: Acoustics , Theoretical and Applied Mechanics , Nonlinear Dynamics , Dynamical Systems and Ergodic Theory
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Call number:SPRINGER-2011-9783642109454:ONLINE Show nearby items on shelf
Title:Sistemi dinamici e teoremi ergodici [electronic resource]
Author(s): Luigi Amerio
B Segre
Date:2011
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Lectures: P.R. Halmos: Entropy in ergodic theory.- E. Hopf: Some topics of ergodic theory.- J.L. Massera: Les quations diffrentielles linaires dans les espaces de Banach.- Seminars: L. Amerio: Funzioni quasi-periodicheastratte e problemi di propagazi one.- L. Markus: Sistemi dinamici con stabilit strutturale.- G. Prodi: Teoremi erodici per le equazioni di idrodinamica.- A.N. Feldzamen: The Alexandra Ionescu-Tulcea proof of McMillans theorem
Note:Springer eBooks
Contents:Lectures: P.R. Halmos: Entropy in ergodic theory
E. Hopf: Some topics of ergodic theory
J.L. Massera: Les quations diffrentielles linaires dans les espaces de Banach
Seminars: L. Amerio: Funzioni quasi
periodiche astratte e problemi di propagazione
L. Markus: Sistemi dinamici con stabilit strutturale
G. Prodi: Teoremi erodici per le equazioni di idrodinamica
A.N. Feldzamen: The Alexandra Ionescu
Tulcea proof of McMillans theorem
ISBN:9783642109454
Series:e-books
Series:SpringerLink (Online service)
Series:C.I.M.E. Summer Schools : v21
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems
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Call number:SPRINGER-2011-9781461418061:ONLINE Show nearby items on shelf
Title:Mathematics of Complexity andDynamical Systems [electronic resource]
Author(s): Robert A Meyers
Date:2011
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:Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complexsystems are systems that c omprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. Thesesystems are often characterized by extreme sensi tivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single sourcework provide a comprehensive explication of the theory and applicatio ns of mathematical complexity, covering ergodic theory, fractals and multifracticals, dynamical systems, perturbation theory, solitons, systems and control theory,and related topics. Mathematics of Complexity and Dynamical Systems is an essential referenc e for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers
Note:Springer eBooks
Contents:Ergodic Theory
Three Editor
in
Chief Selections: Catastrophe Theory Infinite Dimensional Controllability Philosophy of Science, Mathematical Models In
Fractals and Multifractals
Non
linear Ordinary Differential Equations and Dynamical Systems
Non
Linear Partial Differential Equations
Perturbation Theory
Solitons
Systems and Control Theory
ISBN:9781461418061
Series:e-books
Series:SpringerLink (Online service)
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Computer simulation , Differentiable dynamical systems , Differential Equations , Systems theory
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Call number:SPRINGER-2011-9781447121701:ONLINE Show nearby items on shelf
Title:Linear Chaos [electronic resource]
Author(s): Karl-G Grosse-Erdmann
Alfred Peris Manguillot
Date:2011
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:It is commonly believed that chaos is linked to non-linearity, however many (even quite natural) linear dynamical systems exhibit chaotic behavior. The study of these systems is a young and remarkably active field of research,which has seen many land mark results over the past two decades. Linear dynamics lies at the crossroads of several areas of mathematics including operator theory, complex analysis, ergodic theory and partial differential equations. Atthe same time its basic ideas can be easily un derstood by a wide audience. Written by two renowned specialists, Linear Chaos provides a welcome introduction to this theory. Split into two parts, part I presents a self-containedintroduction to the dynamics of linear operators, while part II covers sel ected, largely independent topics from linear dynamics. More than 350 exercises and many illustrations are included, and each chapter contains a furtherSources and Comments section. The only prerequisites are a familiarity with metric spaces, the basic th eory of Hilbert and Banach spaces and fundamentals of complex analysis. More advanced tools, only needed occasionally, areprovided in two appendices. A self-contained exposition, this book will be suitable for self-study and will appeal to advanced underg raduate or beginning graduate students. It will also be of use to researchers in other areas ofmathematics such as partial differential equations, dynamical systems and ergodic theory
Note:Springer eBooks
Contents:Topological dynamics
Hypercyclic and chaotic operators
The Hypercyclicity Criterion
Classes of hypercyclic and chaotic operators
Necessary conditions for hypercyclicity and chaos
Connectedness arguments in linear dynamics
Dynamics of semigroups, with applications to differential equations
Existence of hypercyclic operators
Frequently hypercyclic operators
Hypercyclic subspaces
Common hypercyclic vectors
Linear dynamics in topological vector spaces
ISBN:9781447121701
Series:e-books
Series:SpringerLink (Online service)
Series:Universitext, 0172-5939
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Operator theory
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Call number:SPRINGER-2011-9780857290212:ONLINE Show nearby items on shelf
Title:Ergodic Theory [electronic resource] : with a view towards Number Theory
Author(s): Manfred Einsiedler
Thomas Ward
Date:2011
Publisher:London : Springer London
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:This text is a rigorous introduction to ergodic theory, developing the machinery of conditional measures and expectations, mixing, and recurrence. Beginning by developing the basics of ergodic theory and progressing to describesome recent application s to number theory, this book goes beyond the standard texts in this topic. Applications include Weyl's polynomial equidistribution theorem, the ergodic proof of Szemeredi's theorem, the connection between thecontinued fraction map and the modular surface , and a proof of the equidistribution of horocycle orbits. Ergodic Theory with a view towards Number Theory will appeal to mathematicians with some standard background in measure theory andfunctional analysis. No background in ergodic theory or Lie theory is assumed, and a number of exercises and hints to problems are included, making this the perfect companion for graduate students and researchers in ergodic theory,homogenous dynamics or number theory
Note:Springer eBooks
Contents:Motivation
Ergodicity, Recurrence and Mixing
Continued Fractions
Invariant Measures for Continuous Maps
Conditional Measures and Algebras
Factors and Joinings
Furstenbergs Proof of Szemeredis Theorem
Actions of Locally Compact Groups
Geodesic Flow on Quotients of the Hyperbolic Plane
Nilrotation
More Dynamics on Quotients of the Hyperbolic Plane
Appendix A: Measure Theory
Appendix B: Functional Analysis
Appendix C: Topological Groups
ISBN:9780857290212
Series:e-books
Series:SpringerLink (Online service)
Series:Graduate Texts in Mathematics, 0072-5285 : v259
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Number theory
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Call number:SPRINGER-2011-9780817680923:ONLINE Show nearby items on shelf
Title:Ramsey Theory [electronic resource] : Yesterday, Today, and Tomorrow
Author(s): Alexander Soifer
Date:2011
Edition:1
Publisher:Boston, MA : Birkhuser Boston : Imprint: Birkhuser
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Ramsey theory is a relatively new, approximately 100 year-old direction of fascinating mathematical thought that touches on many classic fields of mathematics such as combinatorics, number theory, geometry, ergodic theory,topology, combinatorial geom etry, set theory, and measure theory. Ramsey theory possesses its own unifying ideas, and some of its results are among the most beautiful theorems of mathematics. The underlying theme of Ramsey theory canbe formulated as: any finite coloring of a large e nough system contains a monochromatic subsystem of higher degree of organization than the system itself, or as T.S. Motzkin famously put it, absolute disorder is impossible. RamseyTheory: Yesterday, Today, and Tomorrow explores the theorys history, recent developments, and some promising future directions through invited surveys written by prominent researchers in the field. The first three surveys providehistorical background on the subject the last three address Euclidean Ramsey theory and related color ing problems. In addition, open problems posed throughout the volume and in the concluding open problem chapter will appeal tograduate students and mathematicians alike. Contributors: J. Burkert, A. Dudek, R.L. Graham, A. Gyrfs, P.D. Johnson, Jr., S.P. Ra dziszowski, V. Rdl, J.H. Spencer, A. Soifer, E. Tressler
Note:Springer eBooks
Contents:How This Book Came into Being
Table of Contents
Ramsey Theory before Ramsey, Prehistory and Early History: An Essay in 13 Parts
Eighty Years of Ramsey R(3, k). . . and Counting!
Ramsey Numbers Involving Cycles
On the function of Erds and Rogers
Large Monochromatic Components in Edge Colorings of Graphs
Szlams Lemma: Mutant Offspring of a Euclidean Ramsey Problem: From 1973, with Numerous Applications
Open Problems in Euclidean Ramsey Theory
Chromatic Number of the Plane and Its Relatives, History, Problems and Results: An Essay in 11 Parts
Euclidean Distance
ISBN:9780817680923
Series:e-books
Series:SpringerLink (Online service)
Series:Progress in Mathematics : v285
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Combinatorics , Discrete groups
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Call number:SPRINGER-2009-9783642019548:ONLINE Show nearby items on shelf
Title:Smooth Ergodic Theory for Endomorphisms [electronic resource]
Author(s): Min Qian
Jian-Sheng Xie
Shu Zhu
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
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Note:This volume presents a general smooth ergodic theory for deterministic dynamical systems generated by non-invertible endomorphisms, mainly concerning the relations between entropy, Lyapunov exponents and dimensions. The authorsmake extensive use of t he combination of the inverse limit space technique and the techniques developed to tackle random dynamical systems. The most interesting results in this book are (1) the equivalence between the SRB property andPesins entropy formula (2) the generalized L edrappier-Young entropy formula (3) exact-dimensionality for weakly hyperbolic diffeomorphisms and for expanding maps. The proof of the exact-dimensionality for weakly hyperbolicdiffeomorphisms seems more accessible than that of Barreira et al. It also in spires the authors to argue to what extent the famous Eckmann-Ruelle conjecture and many other classical results for diffeomorphisms and for flows hold true.After a careful reading of the book, one can systematically learn the Pesin theory for endomorphis ms as well as the typical tricks played in the estimation of the number of balls of certain properties, which are extensively used inChapters IX and X
Note:Springer eBooks
Contents:I Preliminaries
II Margulis
Ruelle Inequality
III Expanding Maps
IV Axiom A Endomorphisms
V Unstable and Stable Manifolds
VI Pesins Entropy Formula
VII SRB Measures and Entropy Formula
VIII Ergodic Property of Lyapunov Exponents
IX Generalized Entropy Formula
X Dimension of Hyperbolic Measures
ISBN:9783642019548
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v1978
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Mechanical engineering
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Call number:SPRINGER-2009-9783540875253:ONLINE Show nearby items on shelf
Title:Fine Structures of Hyperbolic Diffeomorphisms [electronic resource]
Author(s): Alberto A Pinto
David A Rand
Flvio Ferreira
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The study of hyperbolic systems is a core theme of modern dynamics. On surfaces the theory of the fine scale structure of hyperbolic invariant sets and their measures can be described in a very complete and elegant way, and is thesubject of this book , largely self-contained, rigorously and clearly written. It covers the most important aspects of the subject and is based on several scientific works of the leading research workers in this field. This book fills agap in the literature of dynamics. We hi ghly recommend it for any Ph.D student interested in this area. The authors are well-known experts in smooth dynamical systems and ergodic theory
Note:Springer eBooks
Contents:HR structures
Solenoid functions
Self
renormalizable structures
Rigidity
Gibbs measures
Measure scaling functions
Measure solenoid functions
Cocycle
gap pairs
Hausdorff realizations
Extended Livic
Sinai eigenvalue formula
Arc exchange systems and renormalization
Golden tilings (in collaboration with J.P.Almeida and A.Portela)
Pseudo
Anosov diffeomorphisms in pseudo
surfaces
ISBN:9783540875253
Series:e-books
Series:SpringerLink (Online service)
Series:Springer Monographs in Mathematics, 1439-7382
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Differential Equations , Differential equations, partial , Mathematical physics
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Call number:SPRINGER-2009-9783540853671:ONLINE Show nearby items on shelf
Title:Statistical Properties of Deterministic Systems [electronic resource]
Author(s): Jiu Ding
Aihui Zhou
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Part of Tsinghua University Texts, Statistical Properties of Deterministic Systems discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. Afterintroducing some basic resul ts from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functionalanalysis and numerical analysis of the Frobenius- Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics it can also serve as areference book for researchers in the physical sciences, life sciences , and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi Dr. Aihui Zhou is a professor at theAcademy of Mathematics and Systems Science of the Chinese Academy of Sciences
Note:Springer eBooks
Contents:Preface
1. Introduction
2. Foundations of Measure Theory
3. Rudiments of Ergodic Theory
4. Frobenius
Perron Operators
5. Absolutely Continuous Invariant Measures
Existence
6. Absolutely Continuous Invariant Measures
Computation
7. Convergence Rate Analysis
8. Entropy
9. Applications of Invariant Measures
ISBN:9783540853671
Series:e-books
Series:SpringerLink (Online service)
Series:Tsinghua University Texts, 1993-0305
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Operator theory , Computer science Mathematics , Numerical analysis
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Call number:SPRINGER-2009-9783540733058:ONLINE Show nearby items on shelf
Title:Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics [electronic resource]
Author(s): Errico Presutti
Date:2009
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Collective behavior in systems with many components, blow-ups with emergence of microstructures are proofs of the double, continuum and atomistic, nature of macroscopic systems, an issue which has always intrigued scientists andphilosophers. Modern t echnologies have made the question more actual and concrete with recent, remarkable progresses also from a mathematical point of view. The book focuses on the links connecting statistical and continuum mechanicsand, starting from elementary introductions to both theories, it leads to actual research themes. Mathematical techniques and methods from probability, calculus of variations and PDE are discussed at length
Note:Springer eBooks
Contents:Statistical Mechanics of Ising systems
Thermodynamic limit in the Ising model
The phase diagram of Ising systems
Mean field, Kac potentials and the LebowitzPenrose limit
Stochastic Dynamics
Mesoscopic Theory, non
local functionals
Non
local, free energy functionals
Surface tension, Gamma convergence, Wulff shape
One dimensional interfaces
Phase transitions in systems with Kac potentials
Ising systems with Kac potentials
The LMP model and the PirogovSinai strategy
Phase transitions in the LMP model
DLR measures and the ergodic decomposition
ISBN:9783540733058
Series:e-books
Series:SpringerLink (Online service)
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Mathematical physics
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Call number:SPRINGER-2009-9781402093067:ONLINE Show nearby items on shelf
Title:Quantum Entropies [electronic resource] : Dynamics, Information and Complexity
Author(s): Fabio Benatti
Date:2009
Edition:1
Publisher:Dordrecht : Springer Netherlands
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The leading theme of the book is complexity in quantum dynamics. This issue is addressed by comparison with the classical ergodic, information and algorithmic complexity theories. Of particular importance is the notion ofKolmogorov-Sinai dynamical en tropy and of its inequivalent quantum extensions formulated by Connes, Narnhofer and Thirring on one hand and Alicki and Fannes on the other. Their connections with extensions to quantum systems ofKolmogorov-Chaitin-Solomonoff algorithmic complexity theor y is also presented. The technical tools employed are those of the algebraic approach to quantum statistical mechanics which offers a unifying view of classical and quantumdynamical systems. Proofs and examples are provided in order to make the presentati on self consistent
Note:Springer eBooks
ISBN:9781402093067
Series:e-books
Series:SpringerLink (Online service)
Series:Theoretical and Mathematical Physics, 1864-5879
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Quantum theory , Mathematical physics , Quantum computing , Statistical physics
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Call number:SPRINGER-2009-9780817649272:ONLINE Show nearby items on shelf
Title:Iterated Maps on the Interval as Dynamical Systems [electronic resource]
Author(s): Pierre Collet
Jean-Pierre Eckmann
Date:2009
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Iterations of continuous maps of an interval to itself serve as the simplest examples of models for dynamical systems. These models present an interesting mathematical structure going far beyond the simple equilibrium solutionsone might expect. If, i n addition, the dynamical system depends on an experimentally controllable parameter, there is a corresponding mathematical structure revealing a great deal about interrelations between the behavior for differentparameter values. This work explains some o f the early results of this theory to mathematicians and theoretical physicists, with the additional hope of stimulating experimentalists to look for more of these general phenomena ofbeautiful regularity, which oftentimes seem to appear near the much les s understood chaotic systems. Although continuous maps of an interval to itself seem to have been first introduced to model biological systems, they can be found asmodels in most natural sciences as well as economics. Iterated Maps on the Interval as Dyna mical Systems is a classic reference used widely by researchers and graduate students in mathematics and physics, opening up some newperspectives on the study of dynamical systems . This book is a thorough and readable introduction to some aspects of the theory of one-dimensional dynamical systemsThe kneading calculus of MilnorThurston receives its mostaccessible treatment to date in printThis is an important and beautiful exposition, both as an orientation for the reader unfamiliar with this theory and a s a prelude to studying in greater depth some of the hard papers on thesubject. Mathematical Reviews (Review of the original hardcover edition) This book provides a good survey of recent developments in the study of the dynamics of smooth self-maps on the interval. Itdeals with a subject whoseliterature often appears in physics journals. This literature suffers in general from a failure to distinguish between mathematical theorems and
Note:Springer eBooks
Contents:Motivation and Interpretation
One
Parameter Families of Maps
Typical Behavior for One Map
Parameter Dependence
Systematics of the Stable Periods
On the Relative Frequency of Periodic and Aperiodic Behavior
Scaling and Related Predictions
Higher Dimensional Systems
Properties of Individual Maps
Unimodal Maps and Thier Itineraries
The Calculus of Itineraries
Itineraries and Orbits
Negative Schwarzian Derivative
Homtervals
Topological Conjugacy
Sensitive Dependence on Initial Conditions
Ergodic Properties
Properties of one
Parameter families of m
ISBN:9780817649272
Series:e-books
Series:SpringerLink (Online service)
Series:Modern Birkhuser Classics
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Mathematical physics
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Call number:SPRINGER-2008-9783540776956:ONLINE Show nearby items on shelf
Title:Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms [electronic resource]
Author(s): Rufus Bowen
Jean-Ren Chazottes
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details. From the Preface by D. Ruelle: Rufus Bowen has left us a masterpiece ofmathematical exposition... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have beenproved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems.
Note:Springer eBooks
Contents:Preface to the 2nd edition by David Ruelle
0. Introduction
1.Gibbs measures
A.Gibbs measures
B.Ruelle's Perron
Frobenius Theorem
C.Construction of Gibbs measures
D.Variational principle
E.Further properties
References
2.General thermodynamic formalism
A.Entropy
B.Pressure
C.Variational principle
D.Equilibrium states
References
3.Axiom A diffeomorphisms
A.Definition
B. Spectral decomposition
C.Markov partitions
D.Symbolic dynamics
References
4.Ergodic theory of Axiom A diffeomorphisms
A.Equilibrium states for basic sets
B.The
ISBN:9783540776956
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v470
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Distribution (Probability theory) , Cell aggregation Mathematics
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Call number:SPRINGER-2008-9783540729952:ONLINE Show nearby items on shelf
Title:The Fermi-Pasta-Ulam Problem [electronic resource] A Status Report
Author(s): Giovanni Gallavotti
Date:2008
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The apparent contradiction of the results of the Fermi-Pasta-Ulam experiment conducted in 1953 and 1954 with the hypothesis that essentially any nonlinearity would lead to a system exhibiting ergodic behaviour has become known asthe Fermi-Pasta-Ulam Problem. This volume reviews the current understanding of this paradox without trying to force coherence on differing perspectives on the same problem by various groups or approaches. The contributions comprisestudies of one-dimensional chains, descriptio ns of numerical methods, heuristic theories, addressing the long standing and controversial problem of distinguishing chaos from noise in signal analysis, metastability, the relation ofthe FPU motions with the integrable equations, approaches using method s of perturbation theory and the proof of the applicability of KAM theory in FPU chains with energy very close to a minimum. For the convenience of the reader theoriginal work of FPU is reprinted in an appendix. The order of the contributions reflects the aim of leading the interested but inexperienced reader through gradual understanding, starting from general analysis, and proceeding towardsmore specialized topics
Note:Springer eBooks
Contents:to FPU
Dynamics of Oscillator Chains
Role of Chaos for the Validity of Statistical Mechanics Laws: Diffusion and Conduction
The FermiPastaUlam Problem and the Metastability Perspective
Resonance, Metastability and Blow up in FPU
Center Manifold Theory in the Context of Infinite One
Dimensional Lattices
Numerical Methods and Results in the FPU Problem
An Integrable Approximation for the FermiPastaUlam Lattice
ISBN:9783540729952
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v728
Series:Physics and Astronomy (Springer-11651)
Keywords: Differentiable dynamical systems , Differential equations, partial , Mathematical physics , Statistical physics , Mechanics
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Call number:SPRINGER-2008-9780817646219:ONLINE Show nearby items on shelf
Title:Numerical Methods for Controlled Stochastic Delay Systems [electronic resource]
Author(s): Harold J Kushner
Date:2008
Publisher:Boston : Birkhuser Boston
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:The Markov chain approximation methods are widely used for the numerical solution of nonlinear stochastic control problems in continuous time. This book extends the methods to stochastic systems with delays. Because such problemsare infinite-dimensio nal, many new issues arise in getting good numerical approximations and in the convergence proofs. Useful forms of numerical algorithms and system approximations are developed in this work, and the convergenceproofs are given. All of the usual cost functi ons are treated as well as singular and impulsive controls. A major concern is on representations and approximations that use minimal memory. Features and topics include: * Surveysproperties of the most important stochastic dynamical models, including sin gular control, and those for diffusion and reflected diffusion models. * Gives approximations to the dynamical models that simplify the numerical problem, buthave only small effects on the behavior. * Develops an ergodic theory for reflected diffusions wi th delays, as well as model simplifications useful for numerical approximations for average cost per unit time problems. * Providesnumerical algorithms for models with delays in the path, or path and control, with reduced memory requirements. * Develops t ransformations of the problem that yield more efficient approximations when the control, driving Wienerprocess, and/or reflection processes might be delayed, as well as the path. * Presents examples with applications to control and modern communications s ystems. The book is the first on the subject and will be of interest to all thosewho work with stochastic delay equations and whose main interest is in either the use of the algorithms or the underlying mathematics. An excellent resource for graduate stud ents, researchers, and practitioners, the work may be used asa graduate-level textbook for a special topics course or seminar on numerical methods in stochastic control
Note:Springer eBooks
Contents:Preface
Examples and Introduction
Weak Convergence and Martingales
Stochastic Delay Equations: Models
Approximations to the Dynamical Models
The Ergodic Cost Problem
Markov Chain Approximations: Introduction
Markov Chain Approximations: Path and Control Delayed
Path and Control Delayed: Continued
A Wave Equation Approach
References
Index
Symbol Index
ISBN:9780817646219
Series:e-books
Series:SpringerLink (Online service)
Series:Systems & Control: Foundations & Applications
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Systems theory , Numerical analysis , Operations research , Distribution (Probability theory) , Engineering
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Call number:SPRINGER-2007-9783764381141:ONLINE Show nearby items on shelf
Title:Non-spectral Asymptotic Analysis of One-Parameter Operator Semigroups [electronic resource]
Author(s): Eduard Yu Emelyanov
Date:2007
Publisher:Basel : Birkhuser Basel
Size:1 online resource
Note:Springer e-book platform
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Note:In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of one-parameter operator semigroups in Banach spaces. This concerns inparticular Markov se migroups in L1-spaces, motivated by applications to probability theory and dynamical systems. Recently many results on the asymptotic behaviour of Markov semigroups were extended to positive semigroups in Banachlattices with order-continuous norm, and to positive semigroups in non-commutative L1-spaces. Related results, historical notes, exercises, and open problems accompany each chapter. The book is directed to graduate students andresearchers working in operator theory, particularly those interested in C0-semigroups in classical and non-commutative L1-spaces, in mean ergodic theory, and in dynamical systems
Note:Springer eBooks
Contents:Elementary theory of one
parameter semigroups
Positive semigroups in ordered Banach spaces
Positive semigroups in L1
spaces
ISBN:9783764381141
Series:e-books
Series:SpringerLink (Online service)
Series:Operator Theory: Advances and Applications : v173
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Functional analysis , Operator theory
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Call number:SPRINGER-2006-9783540346739:ONLINE Show nearby items on shelf
Title:Dynamical Entropy in Operator Algebras [electronic resource]
Author(s): Sergey Neshveyev
Erling Strmer
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:During the last 30 years there have been several attempts at extending the notion of entropy to noncommutative dynamical systems. The authors present in the book the two most successful approaches to the extensions of measureentropy and topological e ntropy to the noncommutative setting and analyze in detail the main models in the theory. The book addresses mathematicians and physicists, including graduate students, who are interested in quantum dynamicalsystems and applications of operator algebras a nd ergodic theory. Although the authors assume a basic knowledge of operator algebras, they give precise definitions of the notions and in most cases complete proofs of the results whichare used
Note:Springer eBooks
Contents:General Theory
Classical Dynamical Systems
Relative Entropy
Dynamical Entropy
Maximality of Entropy and Commutativity
Dynamical Abelian Models
Topological Entropy
Dynamics on the State Space
Crossed Products
Variational Principle
Special Topics
Relative Entropy and Subfactors
Systems of Algebraic Origin
Binary Shifts
Bogoliubov Automorphisms
Free Products
ISBN:9783540346739
Series:e-books
Series:SpringerLink (Online service)
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics : v50
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Functional analysis , Operator theory , Mathematical physics
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Call number:SPRINGER-2006-9783540341970:ONLINE Show nearby items on shelf
Title:Operator Algebras [electronic resource] : The Abel Symposium 2004
Author(s): Ola Bratteli
Sergey Neshveyev
Christian Skau
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:The theme of the first Abel Symposium was operator algebras in a wide sense. In the last 40 years operator algebras have developed from a rather special discipline within functional analysis to become a central field inmathematics often described as non-commutative geometry (see for example the book Non-Commutative Geometry by the Fields medalist Alain Connes). It has branched out in several subdisciplines and made contact with other subjectslike for example mathematical physics, algebraic topology, geometry, dynamical systems, knot theory, ergodic theory, wavelets, representations of groups and quantum groups. Norway has a relatively strong group of researchers in thesubject, which contributed to the award of the first symposium in the series of Abe l Symposia to this group. The contributions to this volume give a state-of-the-art account of some of these subdisciplines
Note:Springer eBooks
Contents:Interpolation by Projections in C*
Algebras
KMS States and Complex Multiplication (Part II)
An Algebraic Description of Boundary Maps Used in Index Theory
On Rrdam's Classification of Certain C*
Algebras with One Non
Trivial Ideal
Perturbation of Hausdorff Moment Sequences, and an Application to the Theory of C*
Algebras of Real Rank Zero
Twisted K
Theory and Modular Invariants: I Quantum Doubles of Finite Groups
The Orbit Structure of Cantor Minimal Z2
Systems
Outer Actions of a Group on a Factor
Non
Separable AF
Algebras
Central Sequences in C*
Algebras and Stron
ISBN:9783540341970
Series:e-books
Series:SpringerLink (Online service)
Series:Abel Symposia : v1
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , K-theory , Differentiable dynamical systems , Functional analysis , Operator theory
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Call number:SPRINGER-2006-9783540339663:ONLINE Show nearby items on shelf
Title:Open Quantum Systems II [electronic resource] : The Markovian Approach
Author(s): Stphane Attal
Alain Joye
Claude-Alain Pillet
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
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Note:Understanding dissipative dynamics of open quantum systems remains a challenge in mathematical physics. This problem is relevant in various areas of fundamental and applied physics. From a mathematical point of view, it involves alarge body of knowle dge. Significant progress in the understanding of such systems has been made during the last decade. These books present in a self-contained way the mathematical theories involved in the modeling of such phenomena.They describe physically relevant models, develop their mathematical analysis and derive their physical implications. In Volume I the Hamiltonian description of quantum open systems is discussed. This includes an introduction toquantum statistical mechanics and its operator algebraic formulation , modular theory, spectral analysis and their applications to quantum dynamical systems. Volume II is dedicated to the Markovian formalism of classical and quantumopen systems. A complete exposition of noise theory, Markov processes and stochastic differe ntial equations, both in the classical and the quantum context, is provided. These mathematical tools are put into perspective with physicalmotivations and applications. Volume III is devoted to recent developments and applications. The topics discussed i nclude the non-equilibrium properties of open quantum systems, the Fermi Golden Rule and weak coupling limit, quantumirreversibility and decoherence, qualitative behaviour of quantum Markov semigroups and continual quantum measurements
Note:Springer eBooks
Contents:Preface
L. Rey
Bellet: Ergodic Properties of Markov Processes
L. Rey
Bellet: Open Classical Systems
S. Attal: Quantum Noises
R. Rebolledo: Complete Positivity and the Markov Structure of Open Quantum Systems
F. Fagnola: Quantum Stochastic Differential Equations and Dilation of Completely Prositive Semigroups
Index
ISBN:9783540339663
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Mathematics, 0075-8434 : v1881
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Operator theory , Distribution (Probability theory) , Mathematical physics
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Call number:SPRINGER-2006-9783540334170:ONLINE Show nearby items on shelf
Title:Construction of Mappings for Hamiltonian Systems and Their Applications [electronic resource]
Author(s): Sadrilla S Abdullaev
Date:2006
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Based on the method of canonical transformation of variables and the classical perturbation theory, this innovative book treats the systematic theory of symplectic mappings for Hamiltonian systems and its application to the studyof the dynamics and c haos of various physical problems described by Hamiltonian systems. It develops a new, mathematically-rigorous method to construct symplectic mappings which replaces the dynamics of continuous Hamiltonian systemsby the discrete ones. Applications of the m apping methods encompass the chaos theory in non-twist and non-smooth dynamical systems, the structure and chaotic transport in the stochastic layer, the magnetic field lines in magneticallyconfinement devices of plasmas, ray dynamics in waveguides, etc. The book is intended for postgraduate students and researches, physicists and astronomers working in the areas of plasma physics, hydrodynamics, celestial mechanics,dynamical astronomy, and accelerator physics. It should also be useful for applied mathema ticians involved in analytical and numerical studies of dynamical systems
Note:Springer eBooks
Contents:Basics of Hamiltonian Mechanics
Perturbation Theory for Nearly Integrable Systems
Mappings for Perturbed Systems
Method of Canonical Transformation for Constructing Mappings
Mappings Near Separatrix. Theory
Mappings Near Separatrix. Examples
The KAM Theory Chaos Nontwist and Nonsmooth Maps
Rescaling Invariance of Hamiltonian Systems Near Saddle Points
Chaotic Transport in Stochastic Layers
Magnetic Field Lines in Fusion Plasmas
Mapping of Field Lines in Ergodic Divertor Tokamaks
Mappings of Magnetic Field Lines in Poloidal Divertor Tokamaks
Miscellaneous
ISBN:9783540334170
Series:e-books
Series:SpringerLink (Online service)
Series:Lecture Notes in Physics, 0075-8450 : v691
Series:Physics and Astronomy (Springer-11651)
Keywords: Mathematical physics , Plasma (Ionized gases) , Electrodynamics
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Call number:SPRINGER-2005-9783540273059:ONLINE Show nearby items on shelf
Title:Computational Ergodic Theory [electronic resource]
Author(s): Geon Ho Choe
Date:2005
Publisher:Berlin, Heidelberg : Springer Berlin Heidelberg
Size:1 online resource
Note:Springer e-book platform
Note:Springer 2013 e-book collections
Note:Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a differentperspective than in ot her books and theoretical ideas can be gradually absorbed while doing computer experiments. Theoretically less prepared students can appreciate the deep theorems by doing various simulations. The computerexperiments are simple but they have close ties wit h theoretical implications. Even the researchers in the field can benefit by checking their conjectures, which might have been regarded as unrealistic to be programmed easily, againstnumerical output using some of the ideas in the book. One last remark: T he last chapter explains the relation between entropy and data compression, which belongs to information theory and not to ergodic theory. It will help students togain an understanding of the digital technology that has shaped the modern information socie ty
Note:Springer eBooks
Contents:Prerequisites
Invariant Measures
The Birkhoff Ergodic Theorem
The Central Limit Theorem
More on Ergodicity
Homeomorphisms of the Circle
Mod 2 Uniform Distribution
Entropy
The Lyapunov Exponent: One
Dimensional Case
The Lyapunov Exponent: Multidimensional Case
Stable and Unstable Manifolds
Recurrence and Entropy
Recurrence and Dimension
Data Compression
ISBN:9783540273059
Series:e-books
Series:SpringerLink (Online service)
Series:Algorithms and Computation in Mathematics, 1431-1550 : v13
Series:Mathematics and Statistics (Springer-11649)
Keywords: Mathematics , Differentiable dynamical systems , Mathematical physics , Engineering mathematics
Availability:Click here to see Library holdings or inquire at Circ Desk (x3401)
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