Ergodic Theory / Edition 1

by Karl E. Petersen

Overview

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.

Product Details

ISBN-13:	9780521389976
Publisher:	Cambridge University Press
Publication date:	11/23/1989
Series:	Cambridge Studies in Advanced Mathematics , #2
Edition description:	New Edition
Pages:	344
Product dimensions:	5.98(w) x 9.02(h) x 0.79(d)

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.

Editorial Reviews

"For an introduction and general survey, Petersen's book is an excellent choice." Nathaniel Friedman, Mathematical Reviews

From the Publisher