Ergodic Theory

Independence and Dichotomies

Autor: David Kerr, Hanfeng Li

Jazyk:

Vazba: Brožovaná

Vydavatel: Springer International Publishing AG

Dostupnost: Skladem u dodavatele

Odesíláme za 5-8 dnů

3 426 Kč

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

Informace o knize

Autor

David Kerr, Hanfeng Li

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2018

Stránek

431

EAN

9783319842547

Enbook ID

20093588

Vydavatel

Springer International Publishing AG

Hmotnost

712

Rozměry

155 x 235 x 26

Kompletní popis

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

Informace o knize

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