Ergodic Theory

Independence and Dichotomies

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis, Algebra
Cover of the book Ergodic Theory by David Kerr, Hanfeng Li, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David Kerr, Hanfeng Li ISBN: 9783319498478
Publisher: Springer International Publishing Publication: February 9, 2017
Imprint: Springer Language: English
Author: David Kerr, Hanfeng Li
ISBN: 9783319498478
Publisher: Springer International Publishing
Publication: February 9, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Global Game Industries and Cultural Policy by David Kerr, Hanfeng Li
Cover of the book The Form of Poetry in the 1820s and 1830s by David Kerr, Hanfeng Li
Cover of the book The Doctrine of Being in Hegel’s Science of Logic by David Kerr, Hanfeng Li
Cover of the book Financing Sustainable Development in Africa by David Kerr, Hanfeng Li
Cover of the book Human Dynamics Research in Smart and Connected Communities by David Kerr, Hanfeng Li
Cover of the book Intracytoplasmic Sperm Injection by David Kerr, Hanfeng Li
Cover of the book Stars, Myths and Rituals in Etruscan Rome by David Kerr, Hanfeng Li
Cover of the book Product Characteristics in International Economics by David Kerr, Hanfeng Li
Cover of the book Beyond Lean by David Kerr, Hanfeng Li
Cover of the book Computer and Computing Technologies in Agriculture IX by David Kerr, Hanfeng Li
Cover of the book Counterfeiting and Piracy by David Kerr, Hanfeng Li
Cover of the book Physics, Nature and Society by David Kerr, Hanfeng Li
Cover of the book From Groups to Categorial Algebra by David Kerr, Hanfeng Li
Cover of the book Synthesis of Heterocycles in Contemporary Medicinal Chemistry by David Kerr, Hanfeng Li
Cover of the book Advances in Iterative Methods for Nonlinear Equations by David Kerr, Hanfeng Li
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy