An Outline of Ergodic Theory (Cambridge Studies in Advanced - download pdf or read online

By Steven Kalikow,Randall McCutcheon

ISBN-10: 0521170311

ISBN-13: 9780521170314

ISBN-10: 0521194407

ISBN-13: 9780521194402

This casual advent presents a clean standpoint on isomorphism concept, that is the department of ergodic idea that explores the stipulations below which degree conserving structures are primarily similar. It incorporates a primer in easy degree thought, proofs of basic ergodic theorems, and fabric on entropy, martingales, Bernoulli strategies, and diverse forms of blending. unique proofs of vintage theorems - together with the Shannon–McMillan–Breiman theorem, the Krieger finite generator theorem, and the Ornstein isomorphism theorem - are provided via levels, including necessary tricks that motivate the reader to strengthen the proofs all alone. thousands of routines and open difficulties also are incorporated, making this an incredible textual content for graduate classes. execs desiring a short overview, or looking a unique standpoint at the topic, also will price this book.

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An Outline of Ergodic Theory (Cambridge Studies in Advanced Mathematics) by Steven Kalikow,Randall McCutcheon

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