Statistical mechanics on a compact set with $Z^\nu$ action satisfying expansiveness and specification
HTML articles powered by AMS MathViewer
- by David Ruelle PDF
- Bull. Amer. Math. Soc. 78 (1972), 988-991
References
- Rufus Bowen, Periodic points and measures for Axiom $A$ diffeomorphisms, Trans. Amer. Math. Soc. 154 (1971), 377–397. MR 282372, DOI 10.1090/S0002-9947-1971-0282372-0
- Rufus Bowen, Markov partitions for Axiom $\textrm {A}$ diffeomorphisms, Amer. J. Math. 92 (1970), 725–747. MR 277003, DOI 10.2307/2373370
- Gustave Choquet and Paul-André Meyer, Existence et unicité des représentations intégrales dans les convexes compacts quelconques, Ann. Inst. Fourier (Grenoble) 13 (1963), 139–154 (French). MR 149258
- E. I. Dinaburg, A correlation between topological entropy and metric entropy, Dokl. Akad. Nauk SSSR 190 (1970), 19–22 (Russian). MR 0255765
- G. Gallavotti and S. Miracle-Sole, Statistical mechanics of lattice systems, Comm. Math. Phys. 5 (1967), 317–323. MR 218084
- L. Wayne Goodwyn, Topological entropy bounds measure-theoretic entropy, Proc. Amer. Math. Soc. 23 (1969), 679–688. MR 247030, DOI 10.1090/S0002-9939-1969-0247030-3
- Oscar E. Lanford III and Derek W. Robinson, Statistical mechanics of quantum spin systems. III, Comm. Math. Phys. 9 (1968), 327–338. MR 234696
- Derek W. Robinson and David Ruelle, Mean entropy of states in classical statistical mechanics, Comm. Math. Phys. 5 (1967), 288–300. MR 225553
- D. Ruelle, A variational formulation of equilibrium statistical mechanics and the Gibbs phase rule, Comm. Math. Phys. 5 (1967), 324–329. MR 217610
- David Ruelle, Statistical mechanics: Rigorous results, W. A. Benjamin, Inc., New York-Amsterdam, 1969. MR 0289084
- Ja. G. Sinaĭ, Markov partitions and U-diffeomorphisms, Funkcional. Anal. i Priložen 2 (1968), no. 1, 64–89 (Russian). MR 0233038
- Ja. G. Sinaĭ, Construction of Markov partitionings, Funkcional. Anal. i Priložen. 2 (1968), no. 3, 70–80 (Loose errata) (Russian). MR 0250352 13. Ja. G. Sinaĭ, Invariant measures for Anosov’s dynamical systems, Proc. Internat. Congress Math. (Nice, 1970), vol. 2, Gauthier-Villars, Paris, 1971, pp. 929-940.
- S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747–817. MR 228014, DOI 10.1090/S0002-9904-1967-11798-1
Additional Information
- Journal: Bull. Amer. Math. Soc. 78 (1972), 988-991
- MSC (1970): Primary 58F99, 28A65, 54H20; Secondary 82A05
- DOI: https://doi.org/10.1090/S0002-9904-1972-13078-7
- MathSciNet review: 0315743