Ergodic Theory of Random Transformations, Yuri Kifer
Название: Ergodic theory. ISBN: 3319498452 ISBN-13(EAN): 9783319498454 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Yves Coud?ne Название: Ergodic Theory and Dynamical Systems ISBN: 144717285X ISBN-13(EAN): 9781447172857 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This textbook is a self-contained and easy-to-read introduction to ergodic theory and the theory of dynamical systems, with a particular emphasis on chaotic dynamics.
This book contains a broad selection of topics and explores the fundamental ideas of the subject. Starting with basic notions such as ergodicity, mixing, and isomorphisms of dynamical systems, the book then focuses on several chaotic transformations with hyperbolic dynamics, before moving on to topics such as entropy, information theory, ergodic decomposition and measurable partitions. Detailed explanations are accompanied by numerous examples, including interval maps, Bernoulli shifts, toral endomorphisms, geodesic flow on negatively curved manifolds, Morse-Smale systems, rational maps on the Riemann sphere and strange attractors.
Ergodic Theory and Dynamical Systems will appeal to graduate students as well as researchers looking for an introduction to the subject. While gentle on the beginning student, the book also contains a number of comments for the more advanced reader.
Автор: Boris Hasselblatt Название: Ergodic Theory and Negative Curvature ISBN: 3319430580 ISBN-13(EAN): 9783319430584 Издательство: Springer Рейтинг: Цена: 9083.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Focussing on the mathematics related to the recent proof of ergodicity of the (Weil-Petersson) geodesic flow on a nonpositively curved space whose points are negatively curved metrics on surfaces, this book provides a broad introduction to an important current area of research.
Автор: Walters, Peter Название: An Introduction to Ergodic Theory ISBN: 0387951520 ISBN-13(EAN): 9780387951522 Издательство: Springer Рейтинг: Цена: 7819.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: R.J. Zimmer Название: Ergodic Theory and Semisimple Groups ISBN: 1468494902 ISBN-13(EAN): 9781468494907 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is based on a course given at the University of Chicago in 1980-81. As with the course, the main motivation of this work is to present an accessible treatment, assuming minimal background, of the profound work of G. A. Margulis concerning rigidity, arithmeticity, and structure of lattices in semi- simple groups, and related work of the author on the actions of semisimple groups and their lattice subgroups. In doing so, we develop the necessary prerequisites from earlier work of Borel, Furstenberg, Kazhdan, Moore, and others. One of the difficulties involved in an exposition of this material is the continuous interplay between ideas from the theory of algebraic groups on the one hand and ergodic theory on the other. This, of course, is not so much a mathematical difficulty as a cultural one, as the number of persons comfortable in both areas has not traditionally been large. We hope this work will also serve as a contribution towards improving that situation. While there are a number of satisfactory introductory expositions of the ergodic theory of integer or real line actions, there is no such exposition of the type of ergodic theoretic results with which we shall be dealing (concerning actions of more general groups), and hence we have assumed absolutely no knowledge of ergodic theory (not even the definition of ergodic) on the part of the reader. All results are developed in full detail.
Автор: Eisner Tanja Название: Operator Theoretic Aspects of Ergodic Theory ISBN: 3319168975 ISBN-13(EAN): 9783319168975 Издательство: Springer Рейтинг: Цена: 9781.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: I. P. Cornfeld; A. B. Sossinskii; S. V. Fomin; Y. Название: Ergodic Theory ISBN: 146156929X ISBN-13(EAN): 9781461569299 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: Ulrich Krengel; Karin Richter; Volker Warstat Название: Ergodic Theory and Related Topics III ISBN: 3540554440 ISBN-13(EAN): 9783540554448 Издательство: Springer Рейтинг: Цена: 6288.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The proceedings of the Third International Conference on Ergodic Theory and Related Topics, held in Gustrow, Germany, in October 1990. The conference examined recent developments in measure theoretic, differentiable and topological dynamical systems as well as connections to probability theory.
Автор: Ricardo Mane; Silvio Levy Название: Ergodic Theory and Differentiable Dynamics ISBN: 3642703372 ISBN-13(EAN): 9783642703379 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Rio de Janeiro, January 1987 Ricardo Mane Introduction This book is an introduction to ergodic theory, with emphasis on its relationship with the theory of differentiable dynamical systems, which is sometimes called differentiable ergodic theory.
Описание: The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey`s mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild.
Автор: P. Walters Название: Ergodic Theory — Introductory Lectures ISBN: 3540071636 ISBN-13(EAN): 9783540071631 Издательство: Springer Рейтинг: Цена: 11179.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
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