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An outline of ergodic theory PDF

184 Pages·2010·0.88 MB·English
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by Steven Kalikow, Randall McCutcheon| 2010| 184 pages| 0.88| English

About An outline of ergodic theory

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.

Detailed Information

Author:Steven Kalikow, Randall McCutcheon
Publication Year:2010
ISBN:521194407
Pages:184
Language:English
File Size:0.88
Format:PDF
Price:FREE
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