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Cambridge Tracts in Mathematics: Series Number 146

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Cambridge Tracts in Mathematics: Series Number 146 by Janet Whalen Kammeyer
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Description

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.
Release date NZ
April 18th, 2002
Country of Publication
United Kingdom
Imprint
Cambridge University Press
Pages
208
Dimensions
152x229x16
ISBN-13
9780521807951
Product ID
1772017

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