Contributions to Ergodic Theory and Probability, L. Sucheston

Название: Ergodic theory.
ISBN: 3319498452 ISBN-13(EAN): 9783319498454
Издательство: Springer
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Описание: This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. The more advanced material includes Popa`s cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy. The structure of the book is designed to be flexible enough to serve a variety of readers.

Автор: Walters, Peter
Название: An Introduction to Ergodic Theory
ISBN: 0387951520 ISBN-13(EAN): 9780387951522
Издательство: Springer
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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: Robert M. Gray
Название: Probability, Random Processes, and Ergodic Properties
ISBN: 1489983317 ISBN-13(EAN): 9781489983312
Издательство: Springer
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Цена: 15672.00 р.
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Описание: In this new edition of this classic text, much of the material has been rearranged and revised for pedagogical reasons. Many classic inequalities and proofs are now incorporated into the text, and many citations have been added.

Автор: Furstenberg Harry
Название: Recurrence in Ergodic Theory and Combinatorial Number Theory
ISBN: 0691615365 ISBN-13(EAN): 9780691615363
Издательство: Wiley
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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: Jean Moulin Ollagnier
Название: Ergodic Theory and Statistical Mechanics
ISBN: 3540151923 ISBN-13(EAN): 9783540151920
Издательство: Springer
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Цена: 3487.00 р.
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Автор: Ya. Sinai,
Название: Introduction to ergodic theory,
ISBN: 0691081824 ISBN-13(EAN): 9780691081823
Издательство: Wiley
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Цена: 11088.00 р.
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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: 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: 15372.00 р.
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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: KATOK
Название: Ergodic Theory and Dynamical Systems I
ISBN: 1489966986 ISBN-13(EAN): 9781489966988
Издательство: Springer
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Автор: Eisner Tanja
Название: Operator Theoretic Aspects of Ergodic Theory
ISBN: 3319168975 ISBN-13(EAN): 9783319168975
Издательство: Springer
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Цена: 9781.00 р.
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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: Wael Bahsoun; Christopher Bose; Gary Froyland
Название: Ergodic Theory, Open Dynamics, and Coherent Structures
ISBN: 1493904183 ISBN-13(EAN): 9781493904181
Издательство: Springer
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Цена: 20962.00 р.
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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: I. P. Cornfeld; A. B. Sossinskii; S. V. Fomin; Y.
Название: Ergodic Theory
ISBN: 146156929X ISBN-13(EAN): 9781461569299
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Ergodic theory is one of the few branches of mathematics which has changed radically during the last two decades. " It includes the construc- tion of direct and skew products of dynamical systems, the Rohlin-Halmos lemma, and the theory of special representations of dynamical systems with continuous time.