Restricted Orbit Equivalence for Actions of Discrete Amenable Groups
Janet Whalen Kammeyer, Daniel J. Rudolph
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.
种类:
年:
2002
出版:
First Edition
出版社:
Cambridge University Press
语言:
english
页:
208
ISBN 10:
0521807956
ISBN 13:
9780521807951
系列:
Cambridge Tracts in Mathematics 146
文件:
PDF, 2.40 MB
IPFS:
,
english, 2002