Thermodynamic Formalism: The Mathematical Structures of Equilibrium Statistical Mechanics, Second Edition (Softcover)
Thermodynamic Formalism: The Mathematical Structures of Equilibrium Statistical Mechanics, Second Edition (Softcover)
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VERY GOOD: This book is in very good condition, showing only slight signs of use and wear. The pages are slightly tan in color, but this could have been their original appearance.Product Details
From the back cover: This book "is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, and the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the computational 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 physics 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."BRIEF CONTENTS
- Foreword to the first edition
- Preface to the first edition
- Preface to the second edition
- Introduction
- 1. Theory of Gibbs states
- 2. Gibbs states: complements
- 3. Translation invariance. Theory of equilibrium states
- 4. Connection between Gibbs states and Equilibrium states
- 5. One-dimensional systems
- 6. Extension of the thermodynamic formalism
- 7. Statistical mechanics on Smale spaces
- Notes
- Exercises
- 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
- References
- Index
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PUBLISHER: Cambridge University Press
ISBN-13: 9780521546492
ISBN-10: 0521546494