Ergodic Theory

ISBN-13: 9780521389976 / Angielski / Miękka / 1989 / 344 str.

Karl Petersen

Opis

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.

Recenzje

' … an excellent introduction to several areas which are of interest both from the point of view of the mathematical scholar and from that of the research mathematician.' American Scientist

Spis treści

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.