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Topics in Ergodic Theory

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Topics in Ergodic Theory Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

Since the 1930s ergodic theory has been central to pure mathematics. This introduction provides 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.

Synopsis:

An introduction to topics and examples of ergodic theory, a central area of pure mathematics.

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.

Product Details

ISBN:
9780521604901
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Editor:
Bollobas, Bela
Editor:
Fulton, W.
Author:
Kirwan, F.
Author:
Katok, A.
Author:
Bollobas, B.
Author:
Parry, William
Author:
Fulton, W.
Author:
Sarnak, P.
Publisher:
Cambridge University Press
Location:
Cambridge
Subject:
Calculus
Subject:
Probability
Subject:
General Mathematics
Subject:
Mathematics-Calculus
Edition Description:
Trade paper
Series:
Cambridge Tracts in Mathematics
Series Volume:
75
Publication Date:
20040431
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Pages:
124
Dimensions:
8.54x5.60x.33 in. .38 lbs.

Related Subjects

Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Calculus » General

Topics in Ergodic Theory New Trade Paper
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Product details 124 pages Cambridge University Press - English 9780521604901 Reviews:
"Synopsis" by , Since the 1930s ergodic theory has been central to pure mathematics. This introduction provides 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.
"Synopsis" by , An introduction to topics and examples of ergodic theory, a central area of pure mathematics.
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