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Thermodynamic Formalism

Thermodynamic Formalism
The Mathematical Structure of Equilibrium Statistical Mechanics

2nd Edition

Part of Cambridge Mathematical Library

  • Author: David Ruelle, Institut des Hautes Études Scientifiques, France
  • Date Published: November 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521546492

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  • Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author.

    • Classic book now re-issued in paperback in the Cambridge Mathematical Library
    • Contains exercises, open problems and appendices making it ideal for graduates entering research
    • New introduction written by the author specially for this new edition
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    Reviews & endorsements

    'This is the second edition of the already classical book on the theory of thermodynamic formalism by David Ruelle.' Monatshefte für Mathematik

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    Product details

    • Edition: 2nd Edition
    • Date Published: November 2004
    • format: Paperback
    • isbn: 9780521546492
    • length: 196 pages
    • dimensions: 229 x 152 x 11 mm
    • weight: 0.3kg
    • contains: 33 exercises
    • availability: Available
  • Table of Contents

    1. Introduction to the 2nd edition
    2. Introduction
    3. Theory of Gibbs States
    4. Gibbs States: complements
    5. Translation invariance: theory of equilibrium states
    6. Connection between Gibbs States and equilibrium
    7. One-dimensional systems
    8. Extension of the thermodynamic formalism
    Appendix A.1. Miscellaneous definitions and results
    Appendix A.2. Topological dynamics
    Appendix A.3. Convexity
    Appendix A.4. Measures and abstract dynamical systems
    Appendix A.5. Integral representations on convex compact sets
    Appendix B. Open problems
    Appendix C. Flows
    Appendix D. Update of open problems.

  • Author

    David Ruelle, Institut des Hautes Études Scientifiques, France
    David Ruelle is a Professor Emeritus at Institut des Hautes etudes Scientifiques, Bures-sur-Yvette, Paris.

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