Ergodic Theory - Independence and Dichotomies (Paperback, Softcover reprint of the original 1st ed. 2016)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Springer Monographs in Mathematics
Release date:	July 2018
First published:	2016
Authors:	David Kerr • Hanfeng Li
Dimensions:	235 x 155 x 24mm (L x W x T)
Format:	Paperback
Pages:	431
Edition:	Softcover reprint of the original 1st ed. 2016
ISBN-13:	978-3-319-84254-7
Categories:	Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Applied mathematics > Non-linear science
LSN:	3-319-84254-4
Barcode:	9783319842547

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