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Restricted Orbit Equivalence for Actions of Discrete Amenable Groups : Cambridge Tracts in Mathematics - Janet Whalen Kammeyer

Restricted Orbit Equivalence for Actions of Discrete Amenable Groups

Cambridge Tracts in Mathematics

Hardcover

Published: 6th May 2002
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This monograph offers a broad investigative tool in ergodic theory and measurable dynamics. The motivation for this work is that one may measure how similar two dynamical systems are by asking how much the time structure of orbits of one system must be distorted for it to become the other. Different restrictions on the allowed distortion will lead to different restricted orbit equivalence theories. These include Ornstein's Isomorphism theory, Kakutani Equivalence theory and a list of others. By putting such restrictions in an axiomatic framework, a general approach is developed that encompasses all these examples simultaneously and gives insight into how to seek further applications. The work is placed in the context of discrete amenable group actions where time is not required to be one-dimensional, making the results applicable to a much wider range of problems and examples.

'... this profound book ... gives an attractive overview and backward look at the restricted orbit equivalence theory for single transformations and other 'small' groups.' Zentralblatt fur Mathematik

Preface
Definitions and examples
The Ornstein-Weiss machinery
Copying lemmas
m-entropy
m-joinings
The equivalence theorem
Appendix
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521807951
ISBN-10: 0521807956
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 208
Published: 6th May 2002
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.6
Weight (kg): 0.48