An Outline of Ergodic Theory - Rilegato

Kalikow, Steven; McCutcheon, Randall

Rilegato

ISBN 10: 0521194407 ISBN 13: 9780521194402

Casa editrice: Cambridge University Press, 2010

Riassunto

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.

Su questo libro

Recensione:

'... explains the main ideas and topics of ergodic theory for those readers who want a basic overview of it and who do not want to be overburdened with notions and details. It also gives professional mathematicians familiar with the material the option of a quick review of it.' Mathematical Reviews

Descrizione del libro:

This informal introduction focuses on the branch of ergodic theory known as isomorphism theory. Exercises, open problems, and helpful hints actively engage the reader and encourage them to participate in developing proofs independently. Ideal for graduate courses, this book is also a valuable reference for the professional mathematician.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2010
• ISBN 10: 0521194407
• ISBN 13: 9780521194402
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 182