By Steven Kalikow,Randall McCutcheon

This casual advent presents a clean viewpoint on isomorphism conception, that is the department of ergodic concept that explores the stipulations less than which degree holding platforms are primarily similar. It incorporates a primer in simple degree conception, proofs of basic ergodic theorems, and fabric on entropy, martingales, Bernoulli tactics, and numerous 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 awarded through levels, including worthy tricks that motivate the reader to boost the proofs all alone. countless numbers of workouts and open difficulties also are incorporated, making this a fantastic textual content for graduate classes. pros desiring a short assessment, or looking a unique point of view 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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