An Introduction to Ergodic Theory

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.

• | Author: Peter Walters
• | Publisher: Springer-Verlag New York Inc.
• | Publication Date: Oct 06, 2000
• | Number of Pages:
• | Language:
• | Binding: Paperback / softback
• | ISBN-13: 9780387951522
• | ISBN-10: 0387951520