Thermodynamic Formalism
Thermodynamic Formalism
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
Reviews & endorsements
'This is the second edition of the already classical book on the theory of thermodynamic formalism by David Ruelle.' Monatshefte für Mathematik
Product details
No date availablePaperback
9780521546492
196 pages
229 × 152 × 11 mm
0.3kg
33 exercises
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.
