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Ergodic Theory and Dynamical Systems

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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.

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Detail Information

Series Title

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Call Number

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Publisher

: ., 2016

Collation

48 b/w illustrations, 1 illustrations in colour

Language

English

ISBN/ISSN

978-1-4471-7287-1

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

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Subject(s)

Jointly published with EDP Sciences, Les Ulis
France
Original French edition published by EDP Sciences
Les Ulis
France and CNRS Editions
Paris

Specific Detail Info

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Statement of Responsibility

Yves Coudène

Other Information

Cataloger

agus

Source

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Validator

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