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Infinite Ergodic Theory of Numbers, Sara Munday, Marc Kessebohmer, Bernd Otto Stratmann


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Автор: Sara Munday, Marc Kessebohmer, Bernd Otto Stratmann
Название:  Infinite Ergodic Theory of Numbers
ISBN: 9783110439410
Издательство: Walter de Gruyter
Классификация:




ISBN-10: 3110439417
Обложка/Формат: Paperback
Страницы: 204
Вес: 0.34 кг.
Дата издания: 10.10.2016
Серия: Mathematics
Язык: English
Размер: 244 x 170 x 11
Читательская аудитория: College/higher education
Ключевые слова: Algebra,Number theory,Calculus & mathematical analysis,Differential calculus & equations,Nonlinear science, MATHEMATICS / Differential Equations / General,MATHEMATICS / Mathematical Analysis,MATHEMATICS / Number Theory
Поставляется из: Германии
Описание: By connecting dynamical systems and number theory, this graduate textbook on ergodic theory acts as an introduction to a highly active area of mathematics, where a variety of strands of research open up. The text explores various concepts in infinite ergodic theory, always using continued fractions and other number-theoretic dynamical systems as illustrative examples. Contents:PrefaceMathematical symbolsNumber-theoretical dynamical systemsBasic ergodic theoryRenewal theory and ?-sum-level setsInfinite ergodic theoryApplications of infinite ergodic theoryBibliographyIndex


An Introduction to Ergodic Theory

Автор: Walters, Peter
Название: An Introduction to Ergodic Theory
ISBN: 0387951520 ISBN-13(EAN): 9780387951522
Издательство: Springer
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Цена: 7819.00 р.
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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.

Ergodic theory.

Название: Ergodic theory.
ISBN: 3319498452 ISBN-13(EAN): 9783319498454
Издательство: Springer
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Цена: 16769.00 р.
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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.

Recurrence in Ergodic Theory and Combinatorial 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: 6336.00 р.
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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

Ergodic Theory and Dynamical Systems

Автор: Yves Coud?ne
Название: Ergodic Theory and Dynamical Systems
ISBN: 144717285X ISBN-13(EAN): 9781447172857
Издательство: Springer
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Цена: 9083.00 р.
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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.
Foundations of Ergodic Theory

Автор: Viana
Название: Foundations of Ergodic Theory
ISBN: 1107126967 ISBN-13(EAN): 9781107126961
Издательство: Cambridge Academ
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Цена: 16157.00 р.
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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.


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