Ergodic Theory And Its Connection With Harmonic Analysis
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Ergodic Theory via Joinings
Author: Eli Glasner
language: en
Publisher: American Mathematical Soc.
Release Date: 2015-01-09
This book introduces modern ergodic theory. It emphasizes a new approach that relies on the technique of joining two (or more) dynamical systems. This approach has proved to be fruitful in many recent works, and this is the first time that the entire theory is presented from a joining perspective. Another new feature of the book is the presentation of basic definitions of ergodic theory in terms of the Koopman unitary representation associated with a dynamical system and the invariant mean on matrix coefficients, which exists for any acting groups, amenable or not. Accordingly, the first part of the book treats the ergodic theory for an action of an arbitrary countable group. The second part, which deals with entropy theory, is confined (for the sake of simplicity) to the classical case of a single measure-preserving transformation on a Lebesgue probability space.
Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces
Author: M. Bachir Bekka
language: en
Publisher: Cambridge University Press
Release Date: 2000-05-11
This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.
Ergodic Theory and Its Connection with Harmonic Analysis
Author: Karl Endel Petersen
language: en
Publisher: Cambridge University Press
Release Date: 1995
Tutorial survey papers on important areas of ergodic theory, with related research papers.