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Dynamical Systems and Ergodic Theory

Dynamical Systems and Ergodic Theory


Part of London Mathematical Society Student Texts

  • Date Published: January 1998
  • availability: Available
  • format: Paperback
  • isbn: 9780521575997

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About the Authors
  • 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).

    • Few other books on this subject
    • Perfect for a master's course
    • Authors are well known in this area
    Read more

    Reviews & endorsements

    ' … the volume achieves its goals well. It covers a broad range of topics clearly and succinctly … There is much material here to interest and stimulate the reader … I thoroughly recommend it to anyone of has some knowledge of the subject matter and wants a concise and well presented reference for more advanced concepts.' UK Non-Linear News

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    Product details

    • Date Published: January 1998
    • format: Paperback
    • isbn: 9780521575997
    • length: 196 pages
    • dimensions: 228 x 151 x 13 mm
    • weight: 0.275kg
    • availability: Available
  • 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.

  • Resources for

    Dynamical Systems and Ergodic Theory

    Mark Pollicott, Michiko Yuri

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  • Authors

    Mark Pollicott, University of Manchester

    Michiko Yuri, Sapporo University, Japan

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