Ergodic Theory, Dynamical Systems, and the Continuing Influence of John C. Oxtoby, Joseph Auslander, Aimee Johnson, Cesar E. Silva

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: 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: 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: 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: Eisner Tanja
Название: Operator Theoretic Aspects of Ergodic Theory
ISBN: 3319168975 ISBN-13(EAN): 9783319168975
Издательство: Springer
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Описание: Stunning recent results by Host-Kra, Green-Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While basic analytic notions and results are reviewed in several appendices, more advanced operator theoretic topics are developed in detail, even beyond their immediate connection with ergodic theory. As a consequence, the book is also suitable for advanced or special-topic courses on functional analysis with applications to ergodic theory.
Topics include:
- an intuitive introduction to ergodic theory
- an introduction to the basic notions, constructions, and standard examples of topological dynamical systems
- Koopman operators, Banach lattices, lattice and algebra homomorphisms, and the Gelfand-Naimark theorem
- measure-preserving dynamical systems
- von Neumann's Mean Ergodic Theorem and Birkhoff's Pointwise Ergodic Theorem
- strongly and weakly mixing systems
- an examination of notions of isomorphism for measure-preserving systems
- Markov operators, and the related concept of a factor of a measure preserving system
- compact groups and semigroups, and a powerful tool in their study, the Jacobs-de Leeuw-Glicksberg decomposition
- an introduction to the spectral theory of dynamical systems, the theorems of Furstenberg and Weiss on multiple recurrence, and applications of dynamical systems to combinatorics (theorems of van der Waerden, Gallai, and Hindman, Furstenberg's Correspondence Principle, theorems of Roth and Furstenberg-S rk zy)
Beyond its use in the classroom, Operator Theoretic Aspects of Ergodic Theory can serve as a valuable foundation for doing research at the intersection of ergodic theory and operator theory

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: Alexander M. Blokh, Leonid A. Bunimovich, Paul H. Jung, Lex G. Oversteegen, Yakov G. Sinai
Название: Dynamical Systems, Ergodic Theory, and Probability: In Memory of Kolya Chernov
ISBN: 1470427737 ISBN-13(EAN): 9781470427733
Издательство: Mare Nostrum (Eurospan)
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Цена: 110880.00 T
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Описание: Contains the proceedings of the Conference on Dynamical Systems, Ergodic Theory, and Probability, held in May 2015, at the University of Alabama. The book is devoted to recent advances in the theory of chaotic and weakly chaotic dynamical systems and its applications to statistical mechanics. The papers present new original results as well as comprehensive surveys.

Автор: Ya. Sinai,
Название: Introduction to ergodic theory,
ISBN: 0691081824 ISBN-13(EAN): 9780691081823
Издательство: Wiley
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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: John C. Oxtoby
Название: Measure and Category
ISBN: 1468493418 ISBN-13(EAN): 9781468493412
Издательство: Springer
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Цена: 55890.00 T
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Описание: Oxtoby Bryn Mawr, April 1980 Preface to the First Edition This book has two main themes: the Baire category theorem as a method for proving existence, and the "duality" between measure and category.