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Ergodic Theory

Independence and Dichotomies

David Kerr, Hanfeng Li

Springer
Collection: Springer Monographs in Mathematics
Publication date : 2017-02-09

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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.

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About the book

Author

David Kerr , Hanfeng Li

Imprint

Springer

Collection

Springer Monographs in Mathematics

Publication date

2017-02-09

Pages

431 pages

Print ISBN

9783319498454

Language

English

Ebook informations

EAN PDF

9783319498478

Price

£129.50

Copy count 4

Print count 43

File size 5130 Ko

Informations accessibility

EAN EPUB

9783319498478

Price

£129.50

Copy count 4

Print count 43

File size 11735 Ko

Informations accessibility

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About author(s)

David Kerr

Hanfeng Li

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