Ebook Info
- Published: 2010
- Number of pages: 182 pages
- Format: PDF
- File Size: 1.01 MB
- Authors: Steven Kalikow
Description
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.
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Keywords
Free Download An Outline of Ergodic Theory (Cambridge Studies in Advanced Mathematics Book 122) 1st Edition in PDF format
An Outline of Ergodic Theory (Cambridge Studies in Advanced Mathematics Book 122) 1st Edition PDF Free Download
Download An Outline of Ergodic Theory (Cambridge Studies in Advanced Mathematics Book 122) 1st Edition 2010 PDF Free
An Outline of Ergodic Theory (Cambridge Studies in Advanced Mathematics Book 122) 1st Edition 2010 PDF Free Download
Download An Outline of Ergodic Theory (Cambridge Studies in Advanced Mathematics Book 122) 1st Edition PDF
Free Download Ebook An Outline of Ergodic Theory (Cambridge Studies in Advanced Mathematics Book 122) 1st Edition