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9780521575997

Dynamical Systems and Ergodic Theory

by ;
  • ISBN13:

    9780521575997

  • ISBN10:

    0521575990

  • Format: Paperback
  • Copyright: 1998-04-01
  • Publisher: Cambridge Univ Pr

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Supplemental Materials

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Summary

This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course. A number of applications are given, principally to number theory and arithmetic progressions (through van der Waerden's theorem and Szemerdi's theorem).

Table of Contents

Introduction and preliminaries
Part I. Topological Dynamics: 1. Examples and basic properties
2. An application of recurrence to arithmetic progressions
3. Topological entropy
4. Interval maps
5. Hyperbolic toral automorphisms
6. Rotation numbers
Part II. Measurable Dynamics: 7. Invariant measures
8. Measure theoretic entropy
9. Ergodic measures
10. Ergodic theorems
11. Mixing
12. Statistical properties
Part III. Supplementary Chapters: 13. Fixed points for the annulus
14. Variational principle
15. Invariant measures for commuting transformations
16. An application of ergodic theory to arithmetic progressions.

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.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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