Classification Problems in Ergodic Theory

Classification Problems in Ergodic Theory

by William Parry, Selim Tuncel
     
 

ISBN-10: 0521287944

ISBN-13: 9780521287944

Pub. Date: 01/28/2008

Publisher: Cambridge University Press

The isomorphism problem of ergodic theory has been extensively studied since Kolmogorov's introduction of entropy into the subject and especially since Ornstein's solution for Bernoulli processes. Much of this research has been in the abstract measure-theoretic setting of pure ergodic theory. However, there has been growing interest in isomorphisms of a more

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Overview

The isomorphism problem of ergodic theory has been extensively studied since Kolmogorov's introduction of entropy into the subject and especially since Ornstein's solution for Bernoulli processes. Much of this research has been in the abstract measure-theoretic setting of pure ergodic theory. However, there has been growing interest in isomorphisms of a more restrictive and perhaps more realistic nature which recognize and respect the state structure of processes in various ways. These notes give an account of some recent developments in this direction. A special feature is the frequent use of the information function as an invariant in a variety of special isomorphism problems. Lecturers and postgraduates in mathematics and research workers in communication engineering will find this book of use and interest.

Product Details

ISBN-13:
9780521287944
Publisher:
Cambridge University Press
Publication date:
01/28/2008
Series:
London Mathematical Society Lecture Note Series, #67
Pages:
112
Product dimensions:
5.80(w) x 8.90(h) x 0.50(d)

Table of Contents

1. Introduction; 2. The Information Cocycle; 3. Finitary Isomorphisms; 4. Block-codes; 5. Classifications of Topological Markov Chains.

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