@incollection{AST_1976__40__167_0,
author = {Ruelle, D.},
title = {Zeta functions and statistical mechanics},
booktitle = {International conference on dynamical systems in mathematical physics},
series = {Ast\'erisque},
pages = {167--176},
year = {1976},
publisher = {Soci\'et\'e math\'ematique de France},
number = {40},
mrnumber = {458497},
zbl = {0382.58018},
language = {en},
url = {https://www.numdam.org/item/AST_1976__40__167_0/}
}
TY - CHAP AU - Ruelle, D. TI - Zeta functions and statistical mechanics BT - International conference on dynamical systems in mathematical physics AU - Collectif T3 - Astérisque PY - 1976 SP - 167 EP - 176 IS - 40 PB - Société mathématique de France UR - https://www.numdam.org/item/AST_1976__40__167_0/ LA - en ID - AST_1976__40__167_0 ER -
%0 Book Section %A Ruelle, D. %T Zeta functions and statistical mechanics %B International conference on dynamical systems in mathematical physics %A Collectif %S Astérisque %D 1976 %P 167-176 %N 40 %I Société mathématique de France %U https://www.numdam.org/item/AST_1976__40__167_0/ %G en %F AST_1976__40__167_0
Ruelle, D. Zeta functions and statistical mechanics, dans International conference on dynamical systems in mathematical physics, Astérisque, no. 40 (1976), pp. 167-176. https://www.numdam.org/item/AST_1976__40__167_0/
[1] . Uber die Anzahl der Primzahl en unterhalb einer gegebenen Grösse.
[2] . Numbers of solutions of equations in finite fields. Bull. Am. Math. Soc. 55, (1949), 497-508 | MR | Zbl | DOI
[3] . La conjecture de Weil I. IHES Publ. math. 43, (1974), 273-307 | DOI | MR | Zbl | EuDML | Numdam
[4] and . On periodic points. Ann. of Math. 81, (1965), 82-99 | MR | Zbl | DOI
[5] . Differentiable dynamical systems. Bull. A.M.S. 73, (1967), 747-817 | MR | Zbl | DOI
[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] and . Statistical theory of Equations of state and phase transitions, II, Lattice gas and Ising model. Phys. Rev. 87, 410-419, (1952) | MR | Zbl | DOI
[8] . Classifying general Ising models. Lecture given at the International Colloquium on Mathematical Methods in Quantum Field Theory. Marseille, June 1975
[9] . Axiom no cycles rational. Bull. A.M.S. 76, (1970), 592-594 | MR | Zbl | DOI
[10] . Axiom A diffeomorphisms have rational zeta functions. Bull. London Math. Soc. 3, (1971), 215-220 | MR | Zbl | DOI
[11] and . Notes on the Lefshetz fixed point theorem for elliptic complexes. Harvard University. Fall 1964 | Zbl
[12] . Markov partitions for Axiom A diffeomorphisms. Amer. J. Math. 92, (1970), 725-747 | MR | Zbl | DOI
. Markov partitions and minimal sets for Axiom A diffeomorphisms. Amer. J. Math. 92, (1970), 907-918. | MR | Zbl | DOI
[13] . Markov partitions and -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 | Zbl
[14] and . Zeta functions of restrictions of the shift map. Proc. Symp. pure math. 14, (1970), 43-49 | MR | Zbl | DOI
[15] . Gibbsian measures in ergodic theory. Uspekhi mat. Nauk 27 n° 4, (1972), 21-64. English translation Russian math. Surveys 166, (1972), 21-69. | Zbl | MR
[16] . Generalized zeta-functions for Axiom A basic sets. Bull. Amer. Math. Soc. 82, 153-156 (1976) | MR | Zbl | DOI
[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 | DOI
[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. | DOI | MR | Zbl | EuDML | Numdam
[20] . Zeta functions for expanding maps and Anosov flows. Inventiones Math. 34, 231-242 (1976) | MR | Zbl | EuDML | DOI







