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Ergodic Theory

By: Material type: TextTextSeries: Cambridge Studies in Advanced Mathematics ; 2Publication details: Cambridge, UK. New York. Cambridge University Press, 1989.Description: xi, 329 pISBN:
  • 9780521389976
Subject(s): DDC classification:
  • 515/.42 20
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The author presents the fundamentals of the ergodic theory of point transformations and several advanced topics of intense research. The study of dynamical systems forms a vast and rapidly developing field even when considering only activity whose methods derive mainly from measure theory and functional analysis. Each of the basic aspects of ergodic theory--examples, convergence theorems, recurrence properties, and entropy--receives a basic and a specialized treatment. The author's accessible style and the profusion of exercises, references, summaries, and historical remarks make this a useful book for graduate students or self study.

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