Thermodynamic Formalism: The Mathematical Structure of Equilibrium Statistical Mechanics

by David Ruelle

Overview

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.

Product Details

ISBN-13:	9780521546492
Publisher:	Cambridge University Press
Publication date:	11/25/2004
Series:	Cambridge Mathematical Library
Edition description:	REV
Pages:	196
Product dimensions:	5.98(w) x 9.02(h) x 0.43(d)

About the Author

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

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.

Editorial Reviews

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

From the Publisher