Foundations of ergodic theory

By:

Viana, Marcelo

Contributor(s):

Oliveira, Krerley

Series: Cambridge studies in advanced mathematics ; 151Publication details: Cambridge University Press, 2016. Cambridge:Description: xvi, 530 p. : ill. ; hb. ; 24 cmISBN:

9781107126961

Subject(s):

DDC classification:

515.48 VIA

Summary: Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book requires few prerequisites, with background material supplied in the appendix. The first four chapters cover elementary material suitable for undergraduate students - invariance, recurrence and ergodicity - as well as some of the main examples. The authors then gradually build up to more sophisticated topics, including correlations, equivalent systems, entropy, the variational principle and thermodynamical formalism. The 400 exercises increase in difficulty through the text and test the reader's understanding of the whole theory. Hints and solutions are provided at the end of the book.

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Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	515.48 VIA (Browse shelf(Opens below))	1	Available		030093

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Previous	515.43 SMI Feynman integral calculus	515.45 DAS Integrable models	515.48 KAL Outline of ergodic theory	515.48 VIA Foundations of ergodic theory	515.48 VIA Lectures on Lyapunov exponents	515.5 BEA Special functions: a graduate text	515.5 LEB Special functions and their applications	Next

Formerly CIP.
Includes bibliographical references and index.

Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective. The book requires few prerequisites, with background material supplied in the appendix. The first four chapters cover elementary material suitable for undergraduate students - invariance, recurrence and ergodicity - as well as some of the main examples. The authors then gradually build up to more sophisticated topics, including correlations, equivalent systems, entropy, the variational principle and thermodynamical formalism. The 400 exercises increase in difficulty through the text and test the reader's understanding of the whole theory. Hints and solutions are provided at the end of the book.

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