Intended for beginners in ergodic theory, this introductory
textbook addresses students as well as researchers in mathematical
physics. The main novelty is the systematic treatment of
characteristic problems in ergodic theory by a unified method in
terms of convergent power series and renormalization group methods,
in particular. Basic concepts of ergodicity, like Gibbs states, are
developed and applied to, e.g., Asonov systems or KAM Theroy. Many
examples illustrate the ideas and, in addition, a substantial
number of interesting topics are treated in the form of guided
problems.
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