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Ergodic theory via joinings

Author: Eli Glasner
Publisher: Providence, R.I. : American Mathematical Society, ©2003.
Series: Mathematical surveys and monographs, no. 101.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Introduces modern ergodic theory. This book emphasizes a fresh approach that relies on the technique of joining two (or more) dynamical systems. It is suitable for graduate students who have a good  Read more...

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Document Type: Book
All Authors / Contributors: Eli Glasner
ISBN: 0821833723 9780821833728
OCLC Number: 51178129
Description: xi, 384 pages : illustrations ; 26 cm.
Contents: Topological dynamics --
Dynamical systems on Lebesgue spaces --
Ergodicity and mixing properties --
Invariant measures on topological systems --
Spectral theory --
Joinings --
Some applications of joinings --
Quasifactors --
Isometric and weakly mixing extensions --
The Furstenberg-Zimmer structure theorem --
Host's theorem --
Simple systems and their self-joinings --
Kazhdan's property and the geometry of Mr(X) --
Entropy --
Symbolic representations --
Constructions --
The relation between measure and topological entropy --
The Pinsker algebra, CPE and zero entropy systems --
Entropy pairs --
Krieger's and Ornstein's theorems.
Series Title: Mathematical surveys and monographs, no. 101.
Responsibility: Eli Glasner.

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