TY  - BOOK
AU  - Kammeyer,Janet Whalen
AU  - Rudolph,Daniel J.
TI  - Restricted orbit equivalence for actions of discrete amenable groups
T2  - Cambridge tracts in mathematics
SN  - 9780511549908 (ebook)
AV  - QA613.7 .K36 2002
U1  - 515/.42 21
PY  - 2002///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Measure-preserving transformations
KW  - Entropy (Information theory)
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015); 1. Introduction -- 2. Definitions and Examples -- 3. The Ornstein-Weiss Machinery -- 4. Copying Lemmas -- 5. m-entropy -- 6. m-joinings -- 7. The Equivalence Theorem
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511549908
ER  -