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Description - Restricted Orbit Equivalence for Actions of Discrete Amenable Groups by Janet Whalen Kammeyer

This 2002 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.

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Book Details

ISBN: 9780521183857
ISBN-10: 0521183855
Format: Paperback
(229mm x 152mm x 12mm)
Pages: 208
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 9-Dec-2010
Country of Publication: United Kingdom

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