Classification Problems in Ergodic Theory (London Mathematical Society Lecture Note Series, Series Number 67)

Parry, William

ISBN 10: 0521287944 / ISBN 13: 9780521287944

Published by Cambridge University Press, 1982

About this Item

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Bibliographic Details

• Title: Classification Problems in Ergodic Theory (London Mathematical Society Lecture Note Series, Series Number 67)
• Publisher: Cambridge University Press
• Publication Date: 1982
• Language: English
• ISBN 10: 0521287944
• ISBN 13: 9780521287944
• Binding: Soft cover
• Condition: Good

About this title

Synopsis

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.

Book Description

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.