Ergodic theory and dynamical systems /

Ergodic theory and dynamical systems /

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Bibliographic Details
Author / Creator:	Coudène, Yves, author.
Uniform title:	Théorie ergodique er systèmes dynamiques. English
Imprint:	London : Springer, [2016] ©2016
Description:	1 online resource (xiii, 190 pages) : illustrations (some color)
Language:	English
Series:	Universitext, 0172-5939 Universitext,
Subject:	Ergodic theory. Ergodic theory.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11269214

Hidden Bibliographic Details
Other authors / contributors:	Erné, Reinie, translator.
ISBN:	9781447172871 1447172876 9781447172857 144717285X 9782759818310 2759818314
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references and indexes. Online resource; title from PDF title page (SpringerLink, viewed November 21, 2016).
Summary:	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.
Other form:	Print version: Coudène, Yves. Théorie ergodique er systèmes dynamiques. English. Ergodic theory and dynamical systems. London : Springer, [2016] 9781447172857
Standard no.:	10.1007/978-1-4471-7287-1

Description
Summary:	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. <br> 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. <br> 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. <br>
Physical Description:	1 online resource (xiii, 190 pages) : illustrations (some color)
Bibliography:	Includes bibliographical references and indexes.
ISBN:	9781447172871 1447172876 9781447172857 144717285X 9782759818310 2759818314
ISSN:	0172-5939