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Carte Ergodic Theory David Kerr

Ergodic Theory

Independence and Dichotomies

Autor: David Kerr, Hanfeng Li
Limbă: engleză
Legare: Copertă tare
Editura: Springer International Publishing AG
Disponibilitate: În depozitul extern
Expediem în 10-13 zile
829.14 lei
This book provides an introduction to the ergodic theory and topological dynamics of actions of coun...

Informații despre carte

Autor
David Kerr, Hanfeng Li
Limbă
engleză
Legare
Carte - Copertă tare
Publicat
2017
Pagini
431
EAN
9783319498454
ISBN
3319498452
Enbook ID
15195033
Editura
Springer International Publishing AG
Greutate
828
Dimensiuni
163 x 243 x 31

Descriere completă

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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