An Outline of Ergodic Theory

This informal introduction focuses on the branch of ergodic theory known as isomorphism theory. Exercises, open problems, and helpful hints actively engage the reader and encourage them to participate in developing proofs independently. Ideal for graduate courses, this book is also a valuable reference for the professional mathematician.

An engaging introduction to ergodic theory for graduate students, and a useful reference for the professional mathematician.

Autorentext
Steven Kalikow is a Visiting Professor in the Department of Mathematical Sciences at the University of Memphis.

Inhalt
Preface; Introduction; 1. Measure-theoretic preliminaries; 2. Measure preserving systems, stationary processes; 3. Martingales and coupling; 4. Entropy; 5. Bernoulli transformations; 6. Ornstein isomorphism theorem; 7. Varieties of mixing; Appendix; References; Index.

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