no. 6
Vitesse de convergence vers l'état d'équilibre pour des dynamiques markoviennes non höldériennes
Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 6, pp. 675-695. 
@article{AIHPB_1997__33_6_675_0,
     author = {Kondah, Abdelaziz and Maume, V\'eronique and Schmitt, Bernard},
     title = {Vitesse de convergence vers l'\'etat d'\'equilibre pour des dynamiques markoviennes non h\"old\'eriennes},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {675--695},
     publisher = {Gauthier-Villars},
     volume = {33},
     number = {6},
     year = {1997},
     mrnumber = {1484537},
     zbl = {0913.60046},
     language = {fr},
     url = {http://archive.numdam.org/item/AIHPB_1997__33_6_675_0/}
}
TY  - JOUR
AU  - Kondah, Abdelaziz
AU  - Maume, Véronique
AU  - Schmitt, Bernard
TI  - Vitesse de convergence vers l'état d'équilibre pour des dynamiques markoviennes non höldériennes
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 1997
SP  - 675
EP  - 695
VL  - 33
IS  - 6
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPB_1997__33_6_675_0/
LA  - fr
ID  - AIHPB_1997__33_6_675_0
ER  - 
%0 Journal Article
%A Kondah, Abdelaziz
%A Maume, Véronique
%A Schmitt, Bernard
%T Vitesse de convergence vers l'état d'équilibre pour des dynamiques markoviennes non höldériennes
%J Annales de l'I.H.P. Probabilités et statistiques
%D 1997
%P 675-695
%V 33
%N 6
%I Gauthier-Villars
%U http://archive.numdam.org/item/AIHPB_1997__33_6_675_0/
%G fr
%F AIHPB_1997__33_6_675_0
Kondah, Abdelaziz; Maume, Véronique; Schmitt, Bernard. Vitesse de convergence vers l'état d'équilibre pour des dynamiques markoviennes non höldériennes. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 6, pp. 675-695. http://archive.numdam.org/item/AIHPB_1997__33_6_675_0/

[Bi1] G. Birkoff, Extensions of Jentzch's theorem. T.A.M.S., 85, 1957, p. 219-227. | MR | Zbl

[Bi2] G. Birkoff, Lattice theory (3rd edition), Amer. Math. Soc., 1967. | MR | Zbl

[Bo] R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms., Lect. Notes in Math, 470, 1975, Springer Verlag. | MR | Zbl

[Ch] N. Chernov, Limit theorems and Markov approximations for chaotic dynamical systems, Probability Theory and Related Fields, 101, 1995, p. 321-362. | MR | Zbl

[Co] P. Collet, Some ergodic properties of maps of the interval, Dynamical and disordered systems. R. Bamon, J.M. Gambaudo and S. Martinez ed. - Herman. | MR | Zbl

[C, I] P. Collet et S. Isola, On the essential spectrum of the transfert operator for expansive Markov maps, Comm. Math. Phy., 139, 1991, p. 551-557. | MR | Zbl

[D] M. Denker, The central limit theorem for dynamical systems, Dynamical Systems and Ergodic Theory, Banach Center Publications, 23, 1989, PWN - Polish Scientific Pulishers, Warsaw. | MR | Zbl

[Fe, Sc] P. Ferrero et B. Schmitt, Ruelle Perron Frobenius theorems and projective metrics, Colloque Math. Soc. J. Bolyai Random Fields. Estergom (Hungry), 1979.

[Go] M.I. Gordin, The central limit theorem for stationary processes, Soviet. Math. Dokl., 10, 1969, (5), p. 1174-1176. | MR | Zbl

[Gor] P. Gora, Properties of invariant measures for piecewise expanding one-dimensional transformations with summable oscillations of derivative, Erg. Th. and Dyn. Syst. 1994, 14, p. 475-492. | MR | Zbl

[H, K] F. Hofbauer et G. Keller, Ergodic properties of invariant measures for piecewise monotonic transformations, Math. Zeitschrift, 180, 1982, p. 119-140. | MR | Zbl

[I, L] I.M. Ibragimov et Y. Linnik, Independant and stationary sequences of random variables, Walters-Noardhoff Pub. Groningen 1971. | MR | Zbl

[Le] F. Ledrappier, Some properties of absolutely invariant measures on an interval, Erg. Th. and Dyn. Syst., 1, 1981. | MR | Zbl

[Li1] C. Liverani, Decay of corelations Ann. of Math., 142, 1995, (2), p. 239-301. | MR | Zbl

[Li2] C. Liverani, Central limit theorem for deterministic systems, Proceedings of the International Congress on Dynamical Systems, Montevideo 95, Research Notes in Mathematics series, Pittman, 1997. | MR | Zbl

[Pa, Po] W. Parry et M. Pollicott, Zeta functions and the periodic orbit structure of hyperbolic dynamics, Asterisque, 187-188, 1990. | Numdam | MR | Zbl

[Ra] A. Raugi, Théorie spectrale d'un opérateur de transfert sur un espace métrique compact, Ann. Inst. Henri Poincaré, Prob. Stat., 28, (2), 1992, p. 281-309. | Numdam | MR | Zbl

[Ru1] D. Ruelle, Thermodynamic formalism., Addison Wesley New-York 1978. | MR

[Ru2] D. Ruelle, Statiscal mechanic of a one dimensionnal lattice gas, Com. Math. Phys., 9, 1978, p. 267-278. | MR | Zbl

[Sc] B. Schmitt, Existence of acip for expanding maps of the interval, Dynamical Systems and Ergodic Theory Banach Center Publications. Warszaw, 1989. | Zbl

[Si] G. Sinai, Gibbs measures in ergodic theory, Rus. Math. Surveys, 166, 1972, p. 21-69. | MR | Zbl

[Wa] P. Walters, Invariant measures and equilibrium states for somme mappings which expand distances, Trans. Amer. Math. Soc., 236, 1978, p. 121-153. | MR | Zbl