Topics in Ergodic Theory

Topics in Ergodic Theory

by William Parry
     
 

ISBN-10: 0521604907

ISBN-13: 9780521604901

Pub. Date: 04/28/2004

Publisher: Cambridge University Press

Ergodic theory grew out of an important problem of statistical mechanics which was resolved by Birkhoff and von Neumann in the 1930s. Since that time the subject has made its way to the centre of pure mathematics, drawing on the techniques of many other areas and, in turn, influencing those areas. The author has provided in this slim volume a speedy introduction to

Overview

Ergodic theory grew out of an important problem of statistical mechanics which was resolved by Birkhoff and von Neumann in the 1930s. Since that time the subject has made its way to the centre of pure mathematics, drawing on the techniques of many other areas and, in turn, influencing those areas. The author has provided in this slim volume a speedy introduction to a considerable number of topics and examples. He includes sections on the classical ergodic theorems, topological dynamics, uniform distribution, Martingales, information theory and entropy. There is a chapter on mixing and one on special examples. The book concludes with an appendix on the spectral multiplicity theory of unitary operators.

Product Details

ISBN-13:
9780521604901
Publisher:
Cambridge University Press
Publication date:
04/28/2004
Series:
Cambridge Tracts in Mathematics Series, #75
Edition description:
New Edition
Pages:
124
Product dimensions:
5.43(w) x 8.50(h) x 0.28(d)

Table of Contents

Preface; Introduction; 1. The principal ergodic theorems; 2. Martingales and the ergodic theorem of information theory; 3. Mixing; 4. Entropy; 5. Some examples; Appendix; References; Further literature; Index.

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