Foundations of Ergodic Theory Viana Marcelo
Foundations of Ergodic Theory Viana Marcelo Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or…
Specifikacia Foundations of Ergodic Theory Viana Marcelo
Foundations of Ergodic Theory Viana Marcelo
Rich with examples and applications, this textbook provides a coherent and self-contained introduction to ergodic theory, suitable for a variety of one- or two-semester courses. The book requires few prerequisites, with background material supplied in the appendix. The authors' clear and fluent exposition helps the reader to grasp quickly the most important ideas of the theory, and their use of concrete examples illustrates these ideas and puts the results into perspective.
The authors then gradually build up to more sophisticated topics, including correlations, equivalent systems, entropy, the variational principle and thermodynamical formalism. The first four chapters cover elementary material suitable for undergraduate students - invariance, recurrence and ergodicity - as well as some of the main examples. The 400 exercises increase in difficulty through the text and test the
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