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9780821841259

Lectures on Ergodic Theory

by
  • ISBN13:

    9780821841259

  • ISBN10:

    0821841254

  • Format: Hardcover
  • Copyright: 2006-04-30
  • Publisher: Amer Mathematical Society

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Supplemental Materials

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Summary

This classic book is based on lectures given by the author at the University of Chicago in 1956. The topics covered include, in particular, recurrence, the ergodic theorems, and a general discussion of ergodicity and mixing properties. There is also a general discussion of the relation between conjugacy and equivalence. With minimal prerequisites of some analysis and measure theory, this work can be used for a one-semester course in ergodic theory or for self-study.

Table of Contents

Introduction 1(4)
Examples
5(5)
Recurrence
10(3)
Mean convergence
13(5)
Pointwise convergence
18(4)
Comments on the ergodic theorem
22(3)
Ergodicity
25(6)
Consequences of ergodicity
31(5)
Mixing
36(6)
Measure algebras
42(4)
Discrete spectrum
46(5)
Automorphisms of compact groups
51(6)
Generalized proper values
57(4)
Weak topology
61(4)
Weak approximation
65(4)
Uniform topology
69(5)
Uniform approximation
74(3)
Category
77(4)
Invariant measures
81(3)
Invariant measures: the solution
84(3)
Invariant measures: the problem
87(4)
Generalized ergodic theorems
91(5)
Unsolved problems
96(5)
References 101

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

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