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9780521435932

Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

by
  • ISBN13:

    9780521435932

  • ISBN10:

    0521435935

  • Format: Paperback
  • Copyright: 1993-02-26
  • Publisher: Cambridge University Press

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Supplemental Materials

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Summary

Pesin theory consists of the study of the theory of non-uniformly hyperbolic diffeomorphisms. The aim of this book is to provide the reader with a straightforward account of this theory, following the approaches of Katok and Newhouse. Emphasis is placed on generality and on the crucial role of measure theory, although no specialist knowledge of this subject is required.

Author Biography

Mark Pollicott: Centro de Matematica Universidade do Porto

Table of Contents

1. Invariant measures and some ergodic theory
2. Ergodic theory for manifolds and Liapunov exponents
3. Entropy
4. The Pesin set
5. Closing lemmas and periodic points
6. Structure of 'chaotic' diffeomorphisms
7. Stable manifolds and more measure theory
Appendix.

Supplemental Materials

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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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