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

By Steven Kalikow,Randall McCutcheon

This casual creation presents a clean point of view on isomorphism conception, that's the department of ergodic concept that explores the stipulations lower than which degree keeping platforms are primarily an identical. It encompasses a primer in uncomplicated degree idea, proofs of primary ergodic theorems, and fabric on entropy, martingales, Bernoulli techniques, and numerous different 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 offered via levels, including worthy tricks that inspire the reader to increase the proofs all alone. enormous quantities of routines and open difficulties also are incorporated, making this an awesome textual content for graduate classes. pros wanting a brief assessment, or looking a unique viewpoint at the topic, also will worth this book.

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