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Ergodic Theory and Dynamical Systems

Ergodic Theory and Dynamical Systems

Paperback

Series: Universitext

General MathematicsGeneral Science

ISBN10: 144717285X
ISBN13: 9781447172857
Publisher: Springer
Published: Nov 21 2016
Pages: 190
Weight: 0.65
Height: 0.44 Width: 6.14 Depth: 9.21
Language: English
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.

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General Mathematics