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  • © 2008

Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms

Part of the book series: Lecture Notes in Mathematics (LNM, volume 470)

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-x
  2. Gibbs Measures

    • Robert Edward (Rufus) Bowen, Jean-René Chazottes, David Ruelle
    Pages 3-27
  3. General Thermodynamic Formalism

    • Robert Edward (Rufus) Bowen, Jean-René Chazottes, David Ruelle
    Pages 29-44
  4. Axiom a Diffeomorphisms

    • Robert Edward (Rufus) Bowen, Jean-René Chazottes, David Ruelle
    Pages 45-59
  5. Ergodic Theory of Axiom a Diffeomorphisms

    • Robert Edward (Rufus) Bowen, Jean-René Chazottes, David Ruelle
    Pages 61-73
  6. Back Matter

    Pages 74-78

About this book

For this printing of R. Bowen's book, J.-R. Chazottes has retyped it in TeX for easier reading, thereby correcting typos and bibliographic details.

From the Preface by D. Ruelle: "Rufus Bowen has left us a masterpiece of mathematical exposition... Here a number of results which were new at the time are presented in such a clear and lucid style that Bowen's monograph immediately became a classic. More than thirty years later, many new results have been proved in this area, but the volume is as useful as ever because it remains the best introduction to the basics of the ergodic theory of hyperbolic systems."

Keywords

  • Perron-Frobenius theorem
  • Variation
  • axiom A diffeomorphisms
  • diffeomorphism
  • dynamical systems
  • ergodic theory
  • hyperbolic dynamical systems
  • symbolic dynamics
  • thermodynamic formalism

Authors and Affiliations

  • University of California at Berkeley, Berkeley, USA

    Robert Edward (Rufus) Bowen

  • Centre de Physique Théorique, CNRS-École Polytechnique, Palaiseau Cedex, France

    Jean-René Chazottes

  • IHÉS, Bures-sur-Yvette, France

    David Ruelle

Bibliographic Information

  • Book Title: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms

  • Authors: Robert Edward (Rufus) Bowen, Jean-René Chazottes, David Ruelle

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/978-3-540-77695-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2008

  • Softcover ISBN: 978-3-540-77605-5Published: 18 April 2008

  • eBook ISBN: 978-3-540-77695-6Published: 04 April 2008

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 2

  • Number of Pages: VIII, 76

  • Number of Illustrations: 10 b/w illustrations

  • Topics: Dynamical Systems, Manifolds and Cell Complexes, Probability Theory

Buying options

eBook USD 34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 44.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions