An Introduction To Ergodic Theory

Paperback | October 6, 2000

byPeter Walters

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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 theorem. The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces. Several examples are detailed, and the final chapter outlines results and applications of ergodic theory to other branches of mathematics.

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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 theorem. The second part focuses on the ergodic theory of continuous transformations of compact metrizable spaces. Several examples are detaile...

Format:PaperbackDimensions:259 pages, 9.25 × 6.1 × 0.03 inPublished:October 6, 2000Publisher:Springer New YorkLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0387951520

ISBN - 13:9780387951522

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Table of Contents

Preliminaries.- Measure-Preserving Transformations.- Isomorphism, Conjugacy, and Spectral Isomorphism.- Measure-Preserving Transformations with Discrete Spectrum.- Entropy.- Topological Dynamics.- Invariant Measures for Continuous Transformations.- Topological Entropy.- Relationship Between Topological Entropy and Mesaure-Theoretic Entropy.- Topological Pressure and Its Relationship with Invariant Measures.- Applications and Other Topics.