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  3. Classification Problems in Ergodic Theory
  • Cited by 75
Publisher:
Cambridge University Press
Online publication date:
May 2010
Print publication year:
1982
Online ISBN:
9780511629389
DOI:
https://doi.org/10.1017/CBO9780511629389
Subjects:
Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Abstract Analysis
Series:
London Mathematical Society Lecture Note Series (67)
Information

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. 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.

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