@article{PSMIR_1975___S4_A22_0, author = {Ruelle, D.}, title = {Zeta {Functions} and {Statistical} {Mechanics}}, journal = {Publications des s\'eminaires de math\'ematiques et informatique de Rennes}, eid = {22}, pages = {1--10}, publisher = {D\'epartement de Math\'ematiques et Informatique, Universit\'e de Rennes}, number = {S4}, year = {1975}, language = {en}, url = {http://www.numdam.org/item/PSMIR_1975___S4_A22_0/} }
TY - JOUR AU - Ruelle, D. TI - Zeta Functions and Statistical Mechanics JO - Publications des séminaires de mathématiques et informatique de Rennes PY - 1975 SP - 1 EP - 10 IS - S4 PB - Département de Mathématiques et Informatique, Université de Rennes UR - http://www.numdam.org/item/PSMIR_1975___S4_A22_0/ LA - en ID - PSMIR_1975___S4_A22_0 ER -
%0 Journal Article %A Ruelle, D. %T Zeta Functions and Statistical Mechanics %J Publications des séminaires de mathématiques et informatique de Rennes %D 1975 %P 1-10 %N S4 %I Département de Mathématiques et Informatique, Université de Rennes %U http://www.numdam.org/item/PSMIR_1975___S4_A22_0/ %G en %F PSMIR_1975___S4_A22_0
Ruelle, D. Zeta Functions and Statistical Mechanics. Publications des séminaires de mathématiques et informatique de Rennes, no. S4 (1975), article no. 22, 10 p. http://www.numdam.org/item/PSMIR_1975___S4_A22_0/
[1] Uber die Anzahl der Primzahben unterhalb einer gegebenen Grösse. | JFM
.[2] Numbers of solutions of equations in finite fields. Bull. Am. Math. Soc. 55, (1949), 497-508 | MR | Zbl
.[3] La conjecture de Weil I. IHES Publ. math. 43, (1974), 273-307 | Numdam | MR | Zbl
.[4] On periodic points. Ann. of Math. 81, (1965), 82-99 | MR | Zbl
and .[5] Differentiable dynamical systems. Bull. A.M.S. 73, (1967), 747-817 | MR | Zbl
.[6] Harmonic analysis and discontinuous groups in weakly symmetric Riemann spaces with applications to Dirichlet series. J. Indian Math. Soc. 20, (1956), 47-87 | MR | Zbl
[7] Statistical theory of Equations of state and phase transitions, II, Lattice gas and Ising model. Phys. Rev. 87, 410-419, (1952) | MR | Zbl
and .[8] Classifying general Ising models. Lecture given at the International Colloquium on Mathematical Methods in Quantum Field Theory. Marseille, June 1975 | MR
.[9] Axiom A + no cycles rational. Bull. A.M.S. 76, (1970), 592-594 | MR | Zbl
.[10] Axiom A diffeomorphisms have rational zeta functions. Bull. London Math. Soc. 3, (1971), 215-220 | MR | Zbl
.[11] Notes on the Lefshetz fixed point theorem for elliptic complexes. Harvard University. Fall 1964 | Zbl
and .[12] Markov partitions for Axiom A diffeomorphisms. Amer. J. Math. 92, (1970), 725-747 | MR | Zbl
.Markov partitions and minimal sets for Axiom A diffeomorphisms. Amer. J. Math . 92, (1970), 907-918. | MR | Zbl
.[13] Markov partitions and C-diffeomorphisms. Funkts. Analiz Pril. 2 n° 1, (1968), 64-89 ; English translation Funct. Anal. Appl. 2, (1968), 61-82. | MR | Zbl
.Construction of Markov partitions. Funkts. Analiz Pril. 2, n° 3, (1968), 70-80 ; English translation Funct Anal. Appl. 2, (1968), 245-253 | MR | Zbl
.[14] Zeta functions of restrictions of the shift map. Proc. Symp. pure math. 14, (1970),43-49 | Zbl
and .[15] Gibbsian measures in ergodic theory. Uspekhi mat. Nauk 27 n° 4, (1972), 21-64. English translation Russian math. Surveys 166, (1972), 21-69. | MR | Zbl
.[16] Generalized zeta-functions for Axiom A basic sets. To appear | MR | Zbl
.[17] A variational principle for the pressure of continuous transformations. Amer. J. Math. To appear | MR | Zbl
.[18] Symbolic dynamics for hyperbolic flows. Amer. J. Math. 95, (1973),429-460 | MR | Zbl
.[19] Produits tensoriels topologiques et espaces nucléaires. Mémoirs of the Amer. math. Soc. 16, Providence, R.I., (1955) | MR | Zbl
.La théorie de Fredholm. Bull. Soc. math. France, 84, (1956), 319-384. | Numdam | MR | Zbl
.[20] Zeta functions for expanding maps and Anosov flows. To appear. | MR | Zbl
.