David Ruelle

Thermodynamic Formalism (eBook, PDF)

The Mathematical Structure of Equilibrium Statistical Mechanics

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 25. November 2004
• Englisch
• ISBN-13: 9780511261916
• Artikelnr.: 38192357

Autorenporträt

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

Inhaltsangabe

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.