An Outline of Ergodic Theory

English

Series: Cambridge Studies in Advanced Mathematics Ser.

ISBN: 0511685955

EAN: 9780511685958

Category: Mathematics / Differential Equations/Mathematics / Advanced/

Publisher: Cambridge University Press

Release Date: 03/25/2010

Synopsis: This informal introduction provides a fresh perspective on isomorphism theory, which is the branch of ergodic theory that explores the conditions under which two measure preserving systems are essentially equivalent. It contains a primer in basic measure theory, proofs of fundamental ergodic theorems, and material on entropy, martingales, Bernoulli processes, and various varieties of mixing. Original proofs of classic theorems - including the Shannon''''''McMillan''''''Breiman theorem, the Krieger finite generator theorem, and the Ornstein isomorphism theorem - are presented by degrees, together with helpful hints that encourage the reader to develop the proofs on their own. Hundreds of exercises and open problems are also included, making this an ideal text for graduate courses. Professionals needing a quick review, or seeking a different perspective on the subject, will also value this book.

Excerpt: Unknown Property Excerpt

An Outline of Ergodic Theory

Illustrated: No

Format: eBook - PDF

Pages: 182