An Introduction to Ergodic Theory - pr_36728

An Introduction to Ergodic Theory



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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.

Product code: 9780387951522

ISBN 9780387951522
Series Graduate Texts in Mathematics
Publisher Springer-Verlag New York Inc.
Dimensions (HxWxD in mm) H235xW155
No. Of Pages 250
Edition Softcover reprint of the original 1st ed. 1982
This text provides and introduction to ergodic theory suitable for readers knowing basic measure theory. The mathematical prerequisites are summarized in Chapter 0. Several examples are described and are studied in detail when new properties are presented.