Ergodic Theory by David Kerr

Ergodic Theory by David Kerr

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Zusammenfassung

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

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Ergodic Theory by David Kerr

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.
SKU Nicht verfügbar
ISBN 13 9783319498454
ISBN 10 3319498452
Titel Ergodic Theory
Autor David Kerr
Serie Springer Monographs In Mathematics
Buchzustand Nicht verfügbar
Bindungsart Hardback
Verlag Springer International Publishing AG
Erscheinungsjahr 2017-02-27
Seitenanzahl 431
Hinweis auf dem Einband Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis Nicht verfügbar