Dynamical Systems, Ergodic Theory, and Probability: In Memory of Kolya Chernov, Alexander M. Blokh, Leonid A. Bunimovich, Paul H. Jung, Lex G. Oversteegen, Yakov G. Sinai

Автор: Kulik, Alexei
Название: Ergodic Behavior of Markov Processes
ISBN: 3110458705 ISBN-13(EAN): 9783110458701
Издательство: Walter de Gruyter
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Цена: 115060.00 T
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Описание: The general topic of this book is the ergodic behavior of Markov processes. A detailed introduction to methods for proving ergodicity and upper bounds for ergodic rates is presented in the first part of the book, with the focus put on weak ergodic rates, typical for Markov systems with complicated structure. The second part is devoted to the application of these methods to limit theorems for functionals of Markov processes. The book is aimed at a wide audience with a background in probability and measure theory. Some knowledge of stochastic processes and stochastic differential equations helps in a deeper understanding of specific examples. Contents　Part I: Ergodic Rates for Markov Chains and ProcessesMarkov Chains with Discrete State SpacesGeneral Markov Chains: Ergodicity in Total VariationMarkovProcesseswithContinuousTimeWeak Ergodic Rates Part II: Limit TheoremsThe Law of Large Numbers and the Central Limit TheoremFunctional Limit Theorems

Автор: Pei-Dong Liu; Min Qian
Название: Smooth Ergodic Theory of Random Dynamical Systems
ISBN: 3540600043 ISBN-13(EAN): 9783540600046
Издательство: Springer
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Цена: 41920.00 T
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Описание: This text studies ergodic-theoretic aspects of random dynamical systems, for example, deterministic systems with noise. It aims to present a systematic treatment of a series of recent results concerning invariant measures, entropy and Lyapunov exponents of such systems.

Автор: Idris Assani
Название: Ergodic Theory and Dynamical Systems: Proceedings of the Ergodic Theory Workshops at University of North Carolina at Chapel Hill, 2011-2012
ISBN: 3110298139 ISBN-13(EAN): 9783110298130
Издательство: Walter de Gruyter
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Цена: 136310.00 T
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Описание: This is the proceedings of the workshop on recent developments in ergodic theory and dynamical systems on March 2011 and March 2012 at the University of North Carolina at Chapel Hill. The articles in this volume cover several aspects of vibrant research in ergodic theory and dynamical systems. It contains contributions to Teichmuller dynamics, interval exchange transformations, continued fractions, return times averages, Furstenberg Fractals, fractal geometry of non-uniformly hyperbolic horseshoes, convergence along the sequence of squares, adic and horocycle flows, and topological flows. These contributions illustrate the connections between ergodic theory and dynamical systems, number theory, harmonic analysis, probability, and algebra. Two surveys are included which give a nice introduction for interested young or senior researcher to some active research areas. Overall this volume provides a very useful blend of techniques and methods as well as directions of research on general convergence phenomena in ergodic theory and dynamical systems.

Автор: Joseph Auslander, Aimee Johnson, Cesar E. Silva
Название: Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby
ISBN: 1470422999 ISBN-13(EAN): 9781470422998
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
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Описание: Contains articles covering a variety of topics in measurable, symbolic and complex dynamics. It also includes a survey article on the life and work of John Oxtoby, providing a source of information about the many ways Oxtoby`s work influenced mathematical thought in this and other fields.

Автор: L.A. Bunimovich; Ya.G. Sinai; S.G. Dani; R.L. Dobr
Название: Dynamical Systems, Ergodic Theory and Applications
ISBN: 364208561X ISBN-13(EAN): 9783642085611
Издательство: Springer
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Цена: 153720.00 T
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Описание: This EMS volume, the first edition of which was published as Dynamical Systems II, EMS 2, familiarizes the reader with the fundamental ideas and results of modern ergodic theory and its applications to dynamical systems and statistical mechanics.

Автор: Ya. Sinai,
Название: Introduction to ergodic theory,
ISBN: 0691081824 ISBN-13(EAN): 9780691081823
Издательство: Wiley
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Цена: 73920.00 T
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Описание: This monograph examines new areas of ergodic theory, describing entropy theory, elements of the renormalization group method in the theory of dynamical systems, the splitting of separatrices, and problems related to the theory of hyperbolic dynamical systems.

Автор: Walters, Peter
Название: An Introduction to Ergodic Theory
ISBN: 0387951520 ISBN-13(EAN): 9780387951522
Издательство: Springer
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Цена: 52130.00 T
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Описание: The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence properties and the Birkhoff ergodic theorem. The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces.

Автор: Bernard Host, Bryna Kra
Название: Nilpotent Structures in Ergodic Theory
ISBN: 1470447800 ISBN-13(EAN): 9781470447809
Издательство: Mare Nostrum (Eurospan)
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Цена: 107850.00 T
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Описание: Nilsystems play a key role in the structure theory of measure preserving systems, arising as the natural objects that describe the behavior of multiple ergodic averages. This book is a comprehensive treatment of their role in ergodic theory, covering development of the abstract theory leading to the structural statements, applications of these results, and connections to other fields.Starting with a summary of the relevant dynamical background, the book methodically develops the theory of cubic structures that give rise to nilpotent groups and reviews results on nilsystems and their properties that are scattered throughout the literature. These basic ingredients lay the groundwork for the ergodic structure theorems, and the book includes numerous formulations of these deep results, along with detailed proofs. The structure theorems have many applications, both in ergodic theory and in related fields; the book develops the connections to topological dynamics, combinatorics, and number theory, including an overview of the role of nilsystems in each of these areas. The final section is devoted to applications of the structure theory, covering numerous convergence and recurrence results.The book is aimed at graduate students and researchers in ergodic theory, along with those who work in the related areas of arithmetic combinatorics, harmonic analysis, and number theory.

Автор: Furstenberg Harry
Название: Recurrence in Ergodic Theory and Combinatorial Number Theory
ISBN: 0691615365 ISBN-13(EAN): 9780691615363
Издательство: Wiley
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Цена: 42240.00 T
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Описание: Topological dynamics and ergodic theory usually have been treated independently. H. Furstenberg, instead, develops the common ground between them by applying the modern theory of dynamical systems to combinatories and number theory. Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make

Автор: Wael Bahsoun; Christopher Bose; Gary Froyland
Название: Ergodic Theory, Open Dynamics, and Coherent Structures
ISBN: 149394326X ISBN-13(EAN): 9781493943265
Издательство: Springer
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Цена: 102480.00 T
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Описание: This book is comprised of selected research articles developed from a workshop on Ergodic Theory, Probabilistic Methods and Applications, held in April 2012 at the Banff International Research Station.

Автор: Viet-Anh Nguyen
Название: Oseledec Multiplicative Ergodic Theorem for Laminations
ISBN: 1470422530 ISBN-13(EAN): 9781470422530
Издательство: Mare Nostrum (Eurospan)
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Цена: 74850.00 T
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Описание: Given a $n$-dimensional lamination endowed with a Riemannian metric, the author introduces the notion of a multiplicative cocycle of rank $d$, where $n$ and $d$ are arbitrary positive integers. The holonomy cocycle of a foliation and its exterior powers as well as its tensor powers provide examples of multiplicative cocycles.

Автор: Robert Edward Bowen; David Ruelle; Jean-Ren? Chazo
Название: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms
ISBN: 3540776052 ISBN-13(EAN): 9783540776055
Издательство: Springer
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Цена: 32560.00 T
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Описание: 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.