An engaging introduction to ergodic theory for graduate students, and a useful reference for the professional mathematician.

An Outline of Ergodic Theory ICM Edition (Cambridge Studies in Advanced Mathematics, Series Number 122)

Science & Math

McCutcheon, Randall

Kalikow, Steven

Mathematics

Cambridge University Press

<p>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.</p>

An Outline of Ergodic Theory (Cambridge Studies in Advanced Mathematics, Series Number 122)

See the best price to sell, buy, or rent books by Kalikow, Steven. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Kalikow, Steven

See the best price to sell, buy, or rent books by Kalikow, Steven. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

An Outline of Ergodic Theory ICM Edition (Cambridge Studies in Advanced Mathematics, Series Number 122)

An Outline of Ergodic Theory (Cambridge Studies in Advanced Mathematics, Series Number 122)