Ergodic Theory

Independence and Dichotomies

Szerző: David Kerr, Hanfeng Li

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer International Publishing AG

Elérhetőség: Beszállítói készleten

Küldés 10-18 napon belül

57 000 Ft

This book provides an introduction to the ergodic theory and topological dynamics of actions of coun...

Információk a könyvről

Szerző

David Kerr, Hanfeng Li

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2018

oldal

431

EAN

9783319842547

Enbook ID

20093588

Kiadó

Springer International Publishing AG

Súly

712

Méretek

155 x 235 x 26

Teljes leírás

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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Ergodic Theory

Independence and Dichotomies

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