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.
| ISBN: | 9783319498454 |
| Publication date: | 27th February 2017 |
| Author: | David Kerr, Hanfeng Li |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Hardback |
| Pagination: | 431 pages |
| Series: | Springer Monographs in Mathematics |
| Genres: |
Cybernetics and systems theory Functional analysis and transforms Groups and group theory |
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.
Ergodic Theory features in the following genres: Cybernetics and systems theory, Functional analysis and transforms, Groups and group theory
Ergodic Theory is available in Hardback
Ergodic Theory was written by David Kerr, Hanfeng Li and published by Springer an imprint of Springer International Publishing
Ergodic Theory has 431 pages
Yes it is part of Springer Monographs in Mathematics series
£116.99