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An introduction to ergodic theory

Author: Peter Walters
Publisher: New York : Springer-Verlag, [2000]
Series: Graduate texts in mathematics, 79.
Edition/Format:   Print book : English : [1st soft cover ed.]View all editions and formats
Summary:
This text provides and introduction to ergodic theory suitable for readers knowing basic measure theory.
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Document Type: Book
All Authors / Contributors: Peter Walters
ISBN: 0387951520 9780387951522
OCLC Number: 47793634
Description: ix, 250 pages ; 24 cm.
Contents: Ch. 1. Measure-Preserving Transformations --
Ch. 2. Isomorphism, Conjugacy, and Spectral Isomorphism --
Ch. 3. Measure-Preserving Transformations with Discrete Spectrum --
Ch. 4. Entropy --
Ch. 5. Topological Dynamics --
Ch. 6. Invariant Measures for Continuous Transformations --
Ch. 7. Topological Entropy --
Ch. 8. Relationship Between Topological Entropy and Measure-Theoretic Entropy --
Ch. 9. Topological Pressure and Its Relationship with Invariant Measures --
Ch. 10. Applications and Other Topics.
Series Title: Graduate texts in mathematics, 79.
Responsibility: Peter Walters.

Abstract:

The first part of this introduction to ergodic theory addresses measure-preserving transformations of probability spaces and covers such topics as recurrence properties and the Birkhoff ergodic  Read more...

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