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Other titles in the Cambridge Studies in Advanced Mathematics series:
Cambridge Studies in Advanced Mathematics #02: Ergodic Theoryby Karl Petersen
Synopses & Reviews
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.
Presents the fundamentals of ergodic theory as well as selected advanced topics.
The study of dynamical systems forms a vast and rapidly developing field, This book introduces the four aspects of ergodic theory ñexamples, convergence theorems, recurrence properties and entropy. These receive first a basic, then a more advanced treatment, with the discussion of several advanced topics that are currently undergoing research.
The fundamentals of the ergodic theory of point transformations are presented along with several advanced topics of intense research in this well documented study of dynamical systems.
This book presents the fundamentals of ergodic theory as well as selected advanced topics.
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.
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