Overview
- Provides an introduction to the ergodic theory and topological dynamics of actions of general countable groups
- Covers several topics of current research interest, including Popa's cocycle superrigidity, sofic entropy, and algebraic actions
- Contains a consolidated account of amenability and its ramifications for dynamics, including a systematic exposition of the entropy theory for actions of amenable groups
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (14 chapters)
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Front Matter
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Weak Mixing and Compactness
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Front Matter
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Back Matter
Keywords
About this book
The structure of the book is designed to be flexible enough to serve a variety of readers. The discussion of dynamics is developed from scratch assuming some rudimentary functional analysis, measure theory, and topology, and parts of the text can be used as an introductory course. Researchers in ergodic theory and related areas will also find the book valuable as a reference.
Authors and Affiliations
Bibliographic Information
Book Title: Ergodic Theory
Book Subtitle: Independence and Dichotomies
Authors: David Kerr, Hanfeng Li
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-3-319-49847-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2016
Hardcover ISBN: 978-3-319-49845-4Published: 27 February 2017
Softcover ISBN: 978-3-319-84254-7Published: 13 July 2018
eBook ISBN: 978-3-319-49847-8Published: 09 February 2017
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XXXIV, 431
Topics: Dynamical Systems and Ergodic Theory, Group Theory and Generalizations, Functional Analysis