Ruelle, D.
Zeta Functions and Statistical Mechanics
Publications mathématiques et informatique de Rennes, Tome (1975) no. S4 , p. 1-10
URL stable : http://www.numdam.org/item?id=PSMIR_1975___S4_A22_0

Bibliographie

[1] B. Riemann. Uber die Anzahl der Primzahben unterhalb einer gegebenen Grösse. JFM 26.0215.03

[2] A. Weil. Numbers of solutions of equations in finite fields. Bull. Am. Math. Soc. 55, (1949), 497-508 MR 29393 | Zbl 0032.39402

[3] P. Deligne. La conjecture de Weil I. IHES Publ. math. 43, (1974), 273-307 Numdam | MR 340258 | Zbl 0287.14001

[4] M. Artin and B. Mazev. On periodic points. Ann. of Math. 81, (1965), 82-99 MR 176482 | Zbl 0127.13401

[5] S. Smale. Differentiable dynamical systems. Bull. A.M.S. 73, (1967), 747-817 MR 228014 | Zbl 0202.55202

[6] A. Selberg Harmonic analysis and discontinuous groups in weakly symmetric Riemann spaces with applications to Dirichlet series. J. Indian Math. Soc. 20, (1956), 47-87 MR 88511 | Zbl 0072.08201

[7] T.D. Lee and C.N. Yang. Statistical theory of Equations of state and phase transitions, II, Lattice gas and Ising model. Phys. Rev. 87, 410-419, (1952) MR 53029 | Zbl 0048.43401

[8] Ch. Newman. Classifying general Ising models. Lecture given at the International Colloquium on Mathematical Methods in Quantum Field Theory. Marseille, June 1975 MR 479247

[9] J. Guckenheimer. Axiom A + no cycles ζ f (t) rational. Bull. A.M.S. 76, (1970), 592-594 MR 254871 | Zbl 0196.27002

[10] A. Manning. Axiom A diffeomorphisms have rational zeta functions. Bull. London Math. Soc. 3, (1971), 215-220 MR 288786 | Zbl 0219.58007

[11] M. Atiyah and R. Bott. Notes on the Lefshetz fixed point theorem for elliptic complexes. Harvard University. Fall 1964 Zbl 0161.43101

[12] R. Bowen. Markov partitions for Axiom A diffeomorphisms. Amer. J. Math. 92, (1970), 725-747 MR 277003 | Zbl 0208.25901

R. Bowen. Markov partitions and minimal sets for Axiom A diffeomorphisms. Amer. J. Math . 92, (1970), 907-918. MR 277002 | Zbl 0212.29104

[13] Ia. G. Sinai. Markov partitions and C-diffeomorphisms. Funkts. Analiz Pril. 2 n° 1, (1968), 64-89 ; English translation Funct. Anal. Appl. 2, (1968), 61-82. MR 233038 | Zbl 0182.55003

Ia. G. Sinai. Construction of Markov partitions. Funkts. Analiz Pril. 2, n° 3, (1968), 70-80 ; English translation Funct Anal. Appl. 2, (1968), 245-253 MR 250352 | Zbl 0194.22602

[14] R. Bowen and O.E. Lanford Iii. Zeta functions of restrictions of the shift map. Proc. Symp. pure math. 14, (1970),43-49 Zbl 0211.56501

[15] Ia. G. Sinai. Gibbsian measures in ergodic theory. Uspekhi mat. Nauk 27 n° 4, (1972), 21-64. English translation Russian math. Surveys 166, (1972), 21-69. MR 399421 | Zbl 0255.28016

[16] D. Ruelle. Generalized zeta-functions for Axiom A basic sets. To appear MR 400311 | Zbl 0316.58016

[17] P. Walters. A variational principle for the pressure of continuous transformations. Amer. J. Math. To appear MR 390180 | Zbl 0318.28007

[18] R. Bowen. Symbolic dynamics for hyperbolic flows. Amer. J. Math. 95, (1973),429-460 MR 339281 | Zbl 0282.58009

[19] A. Grothendieck. Produits tensoriels topologiques et espaces nucléaires. Mémoirs of the Amer. math. Soc. 16, Providence, R.I., (1955) MR 75539 | Zbl 0064.35501

A. Grothendieck. La théorie de Fredholm. Bull. Soc. math. France, 84, (1956), 319-384. Numdam | MR 88665 | Zbl 0073.10101

[20] D. Ruelle. Zeta functions for expanding maps and Anosov flows. To appear. MR 420720 | Zbl 0329.58014