Springer Monographs in Mathematics

Ergodic Theory

Independence and Dichotomies

Authors: Kerr, David, Li, Hanfeng

  • 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
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eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-49847-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-49845-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-84254-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and amenability. The more advanced material includes Popa's cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy.

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.

Table of contents (14 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-49847-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-49845-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-84254-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Ergodic Theory
Book Subtitle
Independence and Dichotomies
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-49847-8
DOI
10.1007/978-3-319-49847-8
Hardcover ISBN
978-3-319-49845-4
Softcover ISBN
978-3-319-84254-7
Series ISSN
1439-7382
Edition Number
1
Number of Pages
XXXIV, 431
Topics