New PDF release: An Outline of Ergodic Theory (Cambridge Studies in Advanced

By Steven Kalikow,Randall McCutcheon

ISBN-10: 0521170311

ISBN-13: 9780521170314

ISBN-10: 0521194407

ISBN-13: 9780521194402

This casual creation presents a clean point of view on isomorphism concept, that is the department of ergodic conception that explores the stipulations less than which degree keeping structures are basically an identical. It features a primer in uncomplicated degree idea, proofs of basic ergodic theorems, and fabric on entropy, martingales, Bernoulli methods, and numerous types 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 valuable tricks that inspire the reader to advance the proofs all alone. hundreds and hundreds of workouts and open difficulties also are integrated, making this a fantastic textual content for graduate classes. execs wanting a short evaluation, or looking a special standpoint at the topic, also will worth 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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