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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.
Buchkauf
Ergodic Theory, Karl Endel Petersen
- Sprache
- Erscheinungsdatum
- 1983
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- Beschädigt
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- Titel
- Ergodic Theory
- Sprache
- Englisch
- Autor*innen
- Karl Endel Petersen
- Erscheinungsdatum
- 1983
- Einband
- Hardcover
- Seitenzahl
- 329
- ISBN10
- 0521236320
- ISBN13
- 9780521236324
- Reihe
- Schlagwörter
- Sachbücher, Wissenschaft & Mathematik, Mathematik
- Beschreibung
- 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.