Book Review: Thermodynamic formalism: The mathematical structures of classical equilibrium statistical mechanics

Abstract

2nd ed. Previous edition: Reading, Mass. : London : Addison-Wesley, 1978. 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 -- Appendixes: -- A.1. Miscellaneous definitions and results -- A.2. Topological dynamics -- A.3. Convexity -- A.4. Measures and abstract dynamical systems -- A.5. Integral representations on convex compact sets -- B. Open problems -- C. Flows -- D. Update of open problems.