Foundations of Ergodic Theory (Cambridge Studies in Advanced - download pdf or read online

By Marcelo Viana,Krerley Oliveira

wealthy with examples and functions, this textbook offers a coherent and self-contained advent to ergodic idea, appropriate for numerous one- or two-semester classes. The authors' transparent and fluent exposition is helping the reader to know fast crucial rules of the idea, and their use of concrete examples illustrates those rules and places the consequences into standpoint. The publication calls for few necessities, with history fabric provided within the appendix. the 1st 4 chapters hide straight forward fabric appropriate for undergraduate scholars – invariance, recurrence and ergodicity – in addition to a few of the major examples. The authors then steadily increase to extra subtle themes, together with correlations, similar structures, entropy, the variational precept and thermodynamical formalism. The four hundred workouts bring up in hassle throughout the textual content and try out the reader's figuring out of the total idea. tricks and strategies are supplied on the finish of the book.

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