@article{AIHPC_2005__22_6_817_0,
author = {Alves, Jos\'e Ferreira and Luzzatto, Stefano and Pinheiro, Vilton},
title = {Markov structures and decay of correlations for non-uniformly expanding dynamical systems},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
volume = {22},
year = {2005},
pages = {817-839},
doi = {10.1016/j.anihpc.2004.12.002},
mrnumber = {2172861},
zbl = {02245288},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPC_2005__22_6_817_0}
}
Alves, José F.; Luzzatto, Stefano; Pinheiro, Vilton. Markov structures and decay of correlations for non-uniformly expanding dynamical systems. Annales de l'I.H.P. Analyse non linéaire, Tome 22 (2005) pp. 817-839. doi : 10.1016/j.anihpc.2004.12.002. http://gdmltest.u-ga.fr/item/AIHPC_2005__22_6_817_0/
[1] , SRB measures for non-hyperbolic systems with multidimensional expansion, Ann. Sci. École Norm. Sup. 33 (4) (2000) 1-32. | Numdam | MR 1743717 | Zbl 0955.37012
[2] , , Random perturbations of nonuniformly expanding maps, Astérisque 286 (2003) 25-62. | MR 2052296 | Zbl 1043.37016
[3] , , , SRB measures for partially hyperbolic systems whose central direction is mostly expanding, Invent. Math. 140 (2000) 351-398. | MR 1757000 | Zbl 0962.37012
[4] , , , Lyapunov exponent and rates of mixing for one-dimensional maps, Ergodic Theory Dynam. Systems 24 (2004) 637-657. | MR 2060991 | Zbl 1049.37025
[5] , , Statistical stability for robust classes of maps with non-uniform expansion, Ergodic Theory Dynam. Systems 22 (2002) 1-32. | MR 1889563 | Zbl 1067.37034
[6] , , Proc. Entropy, a complete metric invariant for automorphisms of the torus, Nat. Acad. Sci. USA 57 (1967) 1573-1576. | MR 212156 | Zbl 0177.08002
[7] , , Similarity of Automorphisms of the Torus, Mem. Amer. Math. Soc., vol. 98, Amer. Math. Soc., Providence, RI, 1970. | MR 257315 | Zbl 0195.06104
[8] V. Baladi, M. Benedicks, V. Maume-Deschamps, Almost sure rate of mixing for i.i.d unimodal maps, Ann. Sci. Écol. Norm. Sup. (4) (2002). | Numdam | MR 1886006 | Zbl 1037.37003
[9] , , , Rates of decay of correlations in one-dimensional dynamics, Ann. Sci. Écol. Norm. Sup. 36 (2003) 621-646. | Numdam | MR 2013929 | Zbl 1039.37021
[10] , , The ergodic theory of Axiom A flows, Invent. Math. 29 (1975) 181-202. | MR 380889 | Zbl 0311.58010
[11] , Markov partitions for Axiom diffeomorphisms, Amer. J. Math. 92 (1970) 725-747. | MR 277003 | Zbl 0208.25901
[12] , Equilibrium States and the Ergodic Theory of Axiom A Diffeomorphisms, Lecture Notes in Math., vol. 92, Springer, 1975. | MR 442989 | Zbl 0308.28010
[13] , Subshifts on an infinite alphabet, Ergodic Theory Dynam. Systems 19 (5) (1999) 1175-1200. | MR 1721615 | Zbl 0958.37003
[14] , , , Statistical properties of two-dimensional hyperbolic billiards, Russian Math. Surveys 46 (4) (1991) 47-106. | MR 1138952 | Zbl 0780.58029
[15] , Markov extensions for multi-dimensional dynamical systems, Israel J. Math. 112 (1999) 357-380. | MR 1714974 | Zbl 0988.37012
[16] , , Decay of correlations for piecewise invertible maps in higher dimensions, Israel J. Math. 131 (2002) 203-220. | MR 1942309 | Zbl 1014.37017
[17] J. Buzzi, V. Maume-Deschamps, Decay of correlations on towers with non-Hólder Jacobian and non-exponential return time, Preprint, 2002. | MR 2129364
[18] , , , Weakly expanding skew-products of quadratic maps, Ergodic Theory Dynam. Systems 24 (2004) 385-405. | MR 2018605 | Zbl 1037.37014
[19] M. Holland, Slowly mixing systems and intermittency maps, Ergodic Theory Dynam. Systems, in press. | MR 2122916 | Zbl 1073.37044
[20] , Decay of correlations for piecewise smooth maps with indifferent fixed points, Ergodic Theory Dynam. Systems 24 (2004) 495-524. | MR 2054191 | Zbl 1071.37026
[21] , , Markov partitions and shadowing for non-uniformly hyperbolic systems with singularitie, Ergodic Theory Dynam. Systems 12 (3) (1992) 487-508. | MR 1182660 | Zbl 0756.58038
[22] , , , A probabilistic approach to intermittancy, Ergodic Theory Dynam. Systems 19 (1999) 671-685. | MR 1695915 | Zbl 0988.37035
[23] , Correlation decay for Markov maps on a countable state space, Ergodic Theory Dynam. Systems 21 (2001) 165-196. | MR 1826665 | Zbl 0979.37007
[24] , , Statistical properties of maps with indifferent periodic points, Commun. Math. Phys. 217 (2001) 503-520. | MR 1822105 | Zbl 0996.37030
[25] , Thermodynamical formalism for countable Markov shifts, Ergodic Theory Dynam. Systems 19 (1999) 1565-1593. | MR 1738951 | Zbl 0994.37005
[26] , Subexponential decay of correlations, Invent. Math. 150 (2002) 629-653. | MR 1946554 | Zbl 1042.37005
[27] , Markov partitions and U-diffeomorphisms, Funktsional Anal. i Prilozhen. 32 (2) (1968) 70-80. | MR 233038 | Zbl 0194.22602
[28] , Multidimensional non-hyperbolic attractors, Publ. Math. IHES 85 (1997) 63-96. | Numdam | Zbl 1037.37016
[29] , Statistical properties of dynamical systems with some hyperbolicity, Ann. Math. 147 (1998) 585-650. | MR 1637655 | Zbl 0945.37009
[30] , Recurrence times and rates of mixing, Israel J. Math. 110 (1999) 153-188. | MR 1750438 | Zbl 0983.37005
[31] , On the speed of convergence to equilibrium states for multi-dimensional maps with indifferent fixed points, Nonlinearity 15 (2002) 429-445. | MR 1888859 | Zbl 1001.37004