Thermodynamic Formalism: The Mathematical Structure of Equilibrium Statistical Mechanics

ISBN-13: 9780521546492 / Angielski / Miękka / 2004 / 196 str.

David Ruelle

Opis

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. Background material on physics has been collected in appendices to help the reader. Supplementary work is provided in the form of exercises and problems that were "open" at the original time of writing.

Recenzje

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

Spis treści

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.