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 theo...

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Bibliographic Details

Main Author:	Parry, William 1934-2006 (Author)
Format:	Electronic eBook
Language:	English
Published:	Cambridge Cambridge University Press 1982
Series:	London Mathematical Society lecture note series 67
Subjects:	Ergodic theory Isomorphisms (Mathematics) Ergodentheorie
Online Access:	BSB01 FHN01 Volltext
Summary:	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
Item Description:	Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Physical Description:	1 online resource (101 pages)
ISBN:	9780511629389
DOI:	10.1017/CBO9780511629389