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Kniha Ergodic Theory David Kerr

Ergodic Theory

Independence and Dichotomies

Autor: David Kerr, Hanfeng Li
Jazyk: Angličtina
Vazba: Pevná
Vydavatel: Springer International Publishing AG
Dostupnost: Skladem u dodavatele
Odesíláme za 10-13 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 - Pevná
Vydáno
2017
Stránek
431
EAN
9783319498454
ISBN
3319498452
Enbook ID
15195033
Vydavatel
Springer International Publishing AG
Hmotnost
828
Rozměry
163 x 243 x 31

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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