Ergodic Theory: Independence and Dichotomies

Author:   David Kerr ,  Hanfeng Li
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2016
ISBN:  

9783319498454


Pages:   431
Publication Date:   27 February 2017
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Ergodic Theory: Independence and Dichotomies


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Author:   David Kerr ,  Hanfeng Li
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2016
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   8.218kg
ISBN:  

9783319498454


ISBN 10:   3319498452
Pages:   431
Publication Date:   27 February 2017
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface.- Introduction.- General Framework and Notational Conventions.- Part 1 Weak Mixing Comactness.- Basic Concepts in Ergodic Theory.- Structure Theory for P.M.P. Actions.- Amenability.- Property (T).- Orbit Equivalence Beyond Amenability.- Topological Dynamics.- Tameness and Independence.- Part 2 Entropy.- Entropy for Actions of Amenable Groups.- Entropy for Actions of Sofic Groups.- The f-invariant.- Entropy and Independence.- Algebraic Actions: Expansiveness, Homoclinicity, and Entropy.- Algebraic Actions: Entropy and the Fuglede-Kadison Determinant.- Appendix A. Polish Spaces and Standard Borel Spaces.- Appendix B. Positive Definite Functions and Weak Containment.- Appendix C. Hilbert Modules.- Appendix D. Weakly Almost Periodic Functions.- Appendix E. Gaussian Actions.

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