Ergodic Theory And Related Topics Iii
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Ergodic Theory and Related Topics
Author: Horst Michel
language: en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date: 1983-01-14
No detailed description available for "Ergodic Theory and Related Topics".
Topics in Ergodic Theory
Author: William Parry
language: en
Publisher: Cambridge University Press
Release Date: 2004-06-03
An introduction to topics and examples of ergodic theory, a central area of pure mathematics.
Ergodic Theory
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.