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 point of view on isomorphism idea, that's the department of ergodic idea that explores the stipulations less than which degree retaining structures are primarily similar. It includes a primer in simple degree concept, proofs of primary ergodic theorems, and fabric on entropy, martingales, Bernoulli procedures, 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 provided via levels, including necessary tricks that motivate the reader to improve the proofs all alone. thousands of workouts and open difficulties also are integrated, making this an amazing textual content for graduate classes. execs desiring a short evaluate, or looking a special viewpoint at the topic, also will price this book.

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