An Introduction to Ergodic Theory

Softcover reprint of the original 1st ed. 1982

by Peter Walters

Book Details

Format Paperback / Softback

Book Series Graduate Texts in Mathematics

ISBN-10 0387951520

ISBN-13 9780387951522

Edition Softcover reprint of the original 1st ed. 1982

Publisher Springer-Verlag New York Inc.

Imprint Springer-Verlag New York Inc.

Country of Manufacture US

Country of Publication GB

Publication Date Oct 6th, 2000

Print length 250 Pages

Weight 420 grams

Dimensions 15.60 x 23.20 x 1.60 cms

Product Classification: Numerical analysis Topology

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This text provides an introduction to ergodic theory suitable for readers knowing basic measure theory. recurrence properties, mixing properties, the Birkhoff ergodic theorem, isomorphism and spectral isomorphism, and entropy theory are discussed.

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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