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Ergodic Theory : Independence and Dichotomies (Hardcover) (David Kerr & Hanfeng Li)

Ergodic Theory : Independence and Dichotomies (Hardcover) (David Kerr & Hanfeng Li) - image 1 of 1

About this item

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.
Genre: Mathematics
Series Title: Springer Monographs in Mathematics
Format: Hardcover
Publisher: Springer Verlag
Author: David Kerr & Hanfeng Li
Language: English
Street Date: February 1, 2017
TCIN: 51999896
UPC: 9783319498454
Item Number (DPCI): 248-39-3208
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