A generalized Ruelle Perron-Frobenius theorem and some applications

Walters, Peter

International conference on dynamical systems in mathematical physics, Astérisque, no. 40 (1976), pp. 183-192.

@incollection{AST_1976__40__183_0,
     author = {Walters, Peter},
     title = {A generalized {Ruelle} {Perron-Frobenius} theorem and some applications},
     booktitle = {International conference on dynamical systems in mathematical physics},
     series = {Ast\'erisque},
     pages = {183--192},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {40},
     year = {1976},
     mrnumber = {486428},
     zbl = {0337.28017},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1976__40__183_0/}
}

TY  - CHAP
AU  - Walters, Peter
TI  - A generalized Ruelle Perron-Frobenius theorem and some applications
BT  - International conference on dynamical systems in mathematical physics
AU  - Collectif
T3  - Astérisque
PY  - 1976
SP  - 183
EP  - 192
IS  - 40
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/AST_1976__40__183_0/
LA  - en
ID  - AST_1976__40__183_0
ER  -

%0 Book Section
%A Walters, Peter
%T A generalized Ruelle Perron-Frobenius theorem and some applications
%B International conference on dynamical systems in mathematical physics
%A Collectif
%S Astérisque
%D 1976
%P 183-192
%N 40
%I Société mathématique de France
%U http://archive.numdam.org/item/AST_1976__40__183_0/
%G en
%F AST_1976__40__183_0

Walters, Peter. A generalized Ruelle Perron-Frobenius theorem and some applications, dans International conference on dynamical systems in mathematical physics, Astérisque, no. 40 (1976), pp. 183-192. http://archive.numdam.org/item/AST_1976__40__183_0/

Bibliographie
Cité par

[1] R. L. Adler, $F$ -expansions revisited. Recent Advances in Topological Dynamics. Springer lecture notes. Vol. 318. | MR | Zbl

[2] R. Bowen, Equilibrium states and the Ergodic Theory of Anosov Diffeomorphisms. Springer lecture notes Vol. 470. | MR | Zbl

[3] M. Keane, Strongly mixing $g$ -measures. Invent. Math. 16 (1972) 309-324. | DOI | EuDML | MR | Zbl

[4] K. Krzyzewski, On expanding mappings. Bull. de l'académie Polonaise des sciences Vol. XIX No. 1 1971. | MR | Zbl

[5] F. Ledrappier, Principe variationnel et systèmes dynamiques symboliques. Commen. Maths. Phys. 33 (1973) pp 119-128.

[6] F. Ledrappier, Méchanique statistique de l'équilibre pour un revêtement. Preprint.

[7] M. Ratner, Anosov flows with Gibbs measures are also Bernoullian. Israel J. Math. To appear. | MR | Zbl

[8] D. Ruelle, Statistical mechanics of a one-dimensional lattice gas. Comm. Math. Phys. 9 (1968) 267-278. | DOI | MR | Zbl

[9] M. Shub, Endomorphisms of compact differentiable manifolds. A.J.M. XCl Jan. 1969. | MR | Zbl

[10] P. Walters, A variational principle for the pressure of a continuous transformation. To appear in A.J.M. | MR | Zbl

[11] P. Walters, Ruelle's operator theorem and $g$ -measures. To appear in Trans. A.M.S. | MR | Zbl