Restricted Orbit Equivalence for Actions of Discrete Amenable Groups

Author/Contributor(s):	Kammeyer, Janet Whalen ; Rudolph, Daniel J
Publisher:	Cambridge University Press
Date:	02/17/2011
Binding:	Paperback
Condition:	NEW

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 of these examples simultaneously and gives insight into how to seek further applications.