Książka Ergodic Theory David Kerr

Ergodic Theory

Independence and Dichotomies

Język: Angielski
Oprawa: Twarda
Dostępność: Dostępna u dostawcy
Wysyłamy za 10-13 dni
634.56
This book provides an introduction to the ergodic theory and topological dynamics of actions of coun...

Informacje o książce

Język
Angielski
Oprawa
Książka - Twarda
Data wydania
2017
strony
431
EAN
9783319498454
ISBN
3319498452
Enbook ID
15195033
Waga
828
Wymiary
163 x 243 x 31

Pełny opis

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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