| An Outline of Ergodic Theory Contributor(s): Kalikow, Steven (Author), McCutcheon, Randall (Author) |
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ISBN: 0511801602 ISBN-13: 9780511801600 Publisher: Cambridge University Press OUR PRICE: $213.75 Product Type: Open Ebook - Other Formats Published: June 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Discrete Mathematics |
| Dewey: 515.48 |
| Series: Cambridge Studies in Advanced Mathematics |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |
Contributor Bio(s): McCutcheon, Randall: - Randall McCutcheon is Assistant Professor in the Department of Mathematical Sciences at the University of Memphis.Kalikow, Steven: - Steven Kalikow is a Visiting Professor in the Department of Mathematical Sciences at the University of Memphis. |