Non-Fiction Books:

Cambridge Studies in Advanced Mathematics: Series Number 122

Format

Hardback

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Cambridge Studies in Advanced Mathematics: Series Number 122 by Steven Kalikow
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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.

Author Biography

Steven Kalikow is a Visiting Professor in the Department of Mathematical Sciences at the University of Memphis. Randall McCutcheon is Assistant Professor in the Department of Mathematical Sciences at the University of Memphis.
Release date Australia
March 25th, 2010
Country of Publication
United Kingdom
Illustrations
Worked examples or Exercises
Imprint
Cambridge University Press
Pages
182
Dimensions
157x235x15
ISBN-13
9780521194402
Product ID
3953301

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