TY  - BOOK
AU  - Kalikow,Steven
AU  - McCutcheon,Randall
TI  - An Outline of Ergodic Theory
T2  - Cambridge Studies in Advanced Mathematics
SN  - 9780511801600 (ebook)
AV  - QA313 .K35 2010
U1  - 515/.48 22
PY  - 2010///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Ergodic theory
KW  - Isomorphisms (Mathematics)
N1  - Title from publisher's bibliographic system (viewed on 04 Apr 2016)
N2  - This informal introduction provides a fresh perspective on isomorphism theory, which is the branch of ergodic theory that explores the conditions under which two measure preserving systems are essentially equivalent. It contains a primer in basic measure theory, proofs of fundamental ergodic theorems, and material on entropy, martingales, Bernoulli processes, and various varieties of mixing. Original proofs of classic theorems - including the Shannon–McMillan–Breiman theorem, the Krieger finite generator theorem, and the Ornstein isomorphism theorem - are presented by degrees, together with helpful hints that encourage the reader to develop the proofs on their own. Hundreds of exercises and open problems are also included, making this an ideal text for graduate courses. Professionals needing a quick review, or seeking a different perspective on the subject, will also value this book
UR  - http://dx.doi.org/10.1017/CBO9780511801600
ER  -