ENGLISH

An outline of ergodic theory

By Steven Kalikow , Randall McCutcheon

Book information

Publisher
CUP
Year
2010
ISBN
9780521194402, 0521194407
LCC
QA313 .K35 2010
Open Library ID
OL24028731M
Language
english
Format
PDF
Filesize
901 kB (922479 bytes)
Series
Cambridge Studies in Advanced Mathematics 122
Pages
184\184
Library
Kolxo3
Time added
2010-07-29 05:14:56

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.

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