Restricted Orbit Equivalence for Actions of Discrete Amenable Groups

Download or read book Restricted Orbit Equivalence for Actions of Discrete Amenable Groups written by Janet Whalen Kammeyer and published by Cambridge University Press. This book was released on 2002-04-18 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.