Ergodic Theory
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.
Reviews & endorsements
"For an introduction and general survey, Petersen's book is an excellent choice." Nathaniel Friedman, Mathematical Reviews
Product details
September 1990Paperback
9780521389976
344 pages
229 × 152 × 20 mm
0.51kg
Available
Table of Contents
- Preface
- 1. Introduction and preliminaries
- 2. The fundamentals of ergodic theory
- 3. More about almost everywhere convergence
- 4. More about recurrence
- 5. Entropy
- 6. More about entropy
- References
- Index.