Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

 
 

 

Statistical mechanics on a compact set with $Z^\nu $ action satisfying expansiveness and specification


Author: David Ruelle
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
Full-text PDF

References | Similar Articles | Additional Information

References [Enhancements On Off] (What's this?)

  • 1. R. Bowen, Periodic points and measures for Axiom A diffeomorphisms, Trans. Amer. Math. Soc. 154 (1971), 377-397. MR 282372
  • 2. R. Bowen, Markov partitions for Axiom A diffeomorphisms, Amer. J. Math. 92 (1970), 725-747. MR 43 # 2740. MR 277003
  • 3. G. Choquet and P. -A. Meyer, Existence et unicité des représentations intégrales dans les convexes compacts quelconques, Ann. Inst. Fourier (Grenoble) 13 (1963), fasc. 1, 139-154. MR 26 #6748; errata, 30, 1203. MR 149258
  • 4. E. I. Dinaburg, The relation between topological entropy and metric entropy, Dokl. Akad. Nauk SSSR 190 (1970), 19-22 = Soviet Math. Dokl. 11 (1970), 13-16. MR 41 # 425. MR 255765
  • 5. G. Gallavotti and S. Miracle-Sole, Statistical mechanics of lattice systems, Comm. Math. Phys. 5 (1967), 317-323. MR 36 # 1173. MR 218084
  • 6. L. W. Goodwyn, Topological entropy bounds measure-theoretic entropy, Proc. Amer. Math. Soc. 23 (1969), 679-688. MR 40 # 299. MR 247030
  • 7. O. E. Lanford III and D. W. Robinson, Statistical mechanics of quantum spin systems. III, Comm. Math. Phys. 9 (1968), 327-338. MR 38 # 3012. MR 234696
  • 8. D. W. Robinson and D. Ruelle, Mean entropy of states in classical statistical mechanics, Comm. Math. Phys. 5 (1967), 288-300. MR 37 #1146. MR 225553
  • 9. D. Ruelle, A variational formulation of equilibrium statistical mechanics and the Gibbs phase rule, Comm. Math. Phys. 5 (1967), 324-329. MR 36 #699. MR 217610
  • 10. D. Ruelle, Statistical mechanics. Rigorous results, Benjamin, New York, 1969. MR 289084
  • 11. Ja. G. Sinaĭ, Markov partitions and C-diffeomorphisms, Funkcional. Anal. i Prilozen. 2 (1968), no. 4, 64-89. (Russian) MR 233038
  • 12. Ja. G. Sinaĭ, Construction of Markov partitionings, Funkcional. Anal. i Prilozen. 2 (1968), no. 3, 70-80. (Russian) MR 40 #3591. MR 250352
  • 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.
  • 14. S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817. MR 37 # 3598. MR 228014

Similar Articles

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1970): 58F99, 28A65, 54H20, 82A05

Retrieve articles in all journals with MSC (1970): 58F99, 28A65, 54H20, 82A05


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1972-13078-7

American Mathematical Society