Voir la notice du chapitre de livre provenant de la source Numdam
MR ZblRuelle, D. Zeta functions and statistical mechanics, dans International conference on dynamical systems in mathematical physics, Astérisque, no. 40 (1976), pp. 167-176. http://geodesic.mathdoc.fr/item/AST_1976__40__167_0/
@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 = {http://geodesic.mathdoc.fr/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 - http://geodesic.mathdoc.fr/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 http://geodesic.mathdoc.fr/item/AST_1976__40__167_0/ %G en %F 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
