Ergodic theory

✍ Scribed by Karl E. Petersen

• Book ID: 127428922
• Publisher: Cambridge University Press
• Year: 1983
• Tongue: English
• Weight: 2 MB
• Series: Cambridge Studies in Advanced Mathematics
• Edition: 1
• Category: Library
• ISBN: 0521236320

✦ Synopsis

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.