Probability, Random Processes, and Ergodic Properties, Robert M. Gray
Автор: M.S. Keane; Yurij V. Linnik Название: Ergodic Properties of Algebraic Fields ISBN: 3642866336 ISBN-13(EAN): 9783642866333 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Constructing "flows" of integral points on certain algebraic manifolds given by systems of integral polynomials, we are able to prove individual ergodic theorems and mixing theorems in certain cases.
Автор: Viana Название: Foundations of Ergodic Theory ISBN: 1107126967 ISBN-13(EAN): 9781107126961 Издательство: Cambridge Academ Рейтинг: Цена: 16157.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Rich with examples, applications and over 400 exercises, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. It requires few prerequisites, beginning with elementary material suitable for undergraduate students and gradually building up to more sophisticated topics.
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: 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: Wael Bahsoun; Christopher Bose; Gary Froyland Название: Ergodic Theory, Open Dynamics, and Coherent Structures ISBN: 1493904183 ISBN-13(EAN): 9781493904181 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Zhiqiang Li Название: Ergodic Theory of Expanding Thurston Maps ISBN: 9462391734 ISBN-13(EAN): 9789462391734 Издательство: Springer Рейтинг: Цена: 10760.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Thurston maps are topological generalizations of postcritically-finite rational maps. This book provides a comprehensive study of ergodic theory of expanding Thurston maps, focusing on the measure of maximal entropy, as well as a more general class of invariant measures, called equilibrium states, and certain weak expansion properties of such maps.
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