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Ergodic Theory Independence and Dichotom

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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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Detail Information

Series Title

-

Call Number

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Publisher

: ., 2016

Collation

XXXIV, 431

Language

English

ISBN/ISSN

978-3-319-49847-8

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

-

Subject(s)

Group Theory and Generalizations
Functional Analysis
Dynamical Systems

Specific Detail Info

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Statement of Responsibility

David Kerr, Hanfeng Li

Other Information

Cataloger

agus

Source

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Validator

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