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Generalized zeta-functions for Axiom ${\text{A}}$ basic sets
Author(s):
D.
Ruelle
Journal:
Bull. Amer. Math. Soc.
82
(1976),
153-156.
MSC (1970):
Primary 58F20;
Secondary 82A05
MathSciNet review:
0400311
Retrieve article in:
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References |
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Additional information
References:
- 1.
- H. Araki, Gibbs states of a one dimensional quantum lattice, Comm. Math. Phys. 14 (1969), 120-157. MR 42 #8834. MR 273958
- 2.
- R. Bowen, Markov partitions for Axiom A diffeomorphisms, Amer. J. Math. 92 (1970), 725-747. MR 43 #2740. MR 277003
- 3.
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- 4.
- R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms (to appear). MR 442989
- 5.
- R. Bowen and D. Ruelle, The ergodic theory of Axiom A flows, Invent. Math., 29 (1975), 181-202. MR 380889
- 6.
- A. Manning, Axiom A diffeomorphisms have rational zeta functions, Bull. London Math. Soc. 3 (1971), 215-220. MR 44 #5982. MR 288786
- 7.
- D. Ruelle, Statistical mechanics of a one-dimensional lattice gas, Comm. Math. Phys. 9 (1968), 267-278. MR 38 #3013. MR 234697
- 8.
- D. Ruelle, Statistical mechanics on a compact set with Z, Bull Amer. Math. Soc. 78 (1972), 988-991; Trans. Amer. Math. Soc. 185 (1973), 237-251. MR 47 #4292. MR 315743
- 9.
- D. Ruelle, A measures associated with Axiom A attractors, Amer. J. Math. (to appear). MR 415683
- 10.
- D. Ruelle, Notes on classical statistical mechanics (to appear).
- 11.
- Ja. G. Sinaĭ, Construction of Markov partitionings, Funkcional. Anal. i Priložen. 2 (1968), no. 3, 70-80 = Functional Anal. Appl. 2 (1968), 39-52. MR 40 #3591. MR 250352
- 12.
- Ja. G. Sinaĭ, Gibbsian measures in ergodic theory, Uspehi Mat. Nauk 27 (1972), no. 4 (166), 21-64 = Russian Math. Surveys 27 (1972), no. 4, 21-70. MR 399421
- 13.
- S. Smale, Differentiable dynamical systems, Bull. Amer. Math. Soc. 73 (1967), 747-817. MR 37 #3598; erratum 139, p. 1593. MR 228014
- 14.
- P. Walters, A variational principle for the pressure of continuous transformations (to appear). MR 390180
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14003-7
PII:
S 0002-9904(1976)14003-7
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