Download e-book for kindle: An Outline of Ergodic Theory (Cambridge Studies in Advanced by Steven Kalikow,Randall McCutcheon

By Steven Kalikow,Randall McCutcheon

This casual advent offers a clean standpoint on isomorphism idea, that's the department of ergodic concept that explores the stipulations lower than which degree maintaining structures are basically identical. It features a primer in simple degree concept, proofs of basic ergodic theorems, and fabric on entropy, martingales, Bernoulli strategies, and numerous kinds 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 by means of levels, including beneficial tricks that motivate the reader to boost the proofs all alone. enormous quantities of workouts and open difficulties also are integrated, making this a great textual content for graduate classes. pros desiring a short assessment, 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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