@incollection{AST_2003__286__25_0, author = {Ferreira Alves, Jos\'e and Ara\'ujo, V{\'\i}tor}, title = {Random perturbations of nonuniformly expanding maps}, booktitle = {Geometric methods in dynamics (I) : Volume in honor of Jacob Palis}, editor = {de Melo, Wellington and Viana, Marcelo and Yoccoz, Jean-Christophe}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {286}, year = {2003}, zbl = {1043.37016}, mrnumber = {2052296}, language = {en}, url = {http://www.numdam.org/item/AST_2003__286__25_0/} }
TY - CHAP AU - Ferreira Alves, José AU - Araújo, Vítor TI - Random perturbations of nonuniformly expanding maps BT - Geometric methods in dynamics (I) : Volume in honor of Jacob Palis ED - de Melo, Wellington ED - Viana, Marcelo ED - Yoccoz, Jean-Christophe T3 - Astérisque PY - 2003 DA - 2003/// IS - 286 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2003__286__25_0/ UR - https://zbmath.org/?q=an%3A1043.37016 UR - https://www.ams.org/mathscinet-getitem?mr=2052296 LA - en ID - AST_2003__286__25_0 ER -
Ferreira Alves, José; Araújo, Vítor. Random perturbations of nonuniformly expanding maps, dans Geometric methods in dynamics (I) : Volume in honor of Jacob Palis, Astérisque, no. 286 (2003), 38 p. http://www.numdam.org/item/AST_2003__286__25_0/
[A1] measures for non-hyperbolic systems with multidimensional expansion, Ann. Scient. Éc. Norm. Sup., 4e série, 33 (2000), 1-32. | Article | EuDML 82508 | Numdam | MR 1743717 | Zbl 0955.37012
,[ABV] measures for partially hyperbolic systems with mostly expanding central direction, Invent. Math. 140 (2000), 351-398. | Article | MR 1757000 | Zbl 0962.37012
, , ,[AV] Statistical stability for robust classes of maps with nonuniform expansion, Erg. Th. & Dyn. Sys 22 (2002), 1-32. | Article | MR 1889563 | Zbl 1067.37034
, ,[Ar] Attractors and time averages for random maps, Ann. de l'Inst. H. Poincaré-Anal. non-Lin. 17 (2000), 307-369. | Article | EuDML 78495 | Numdam | MR 1771137 | Zbl 0974.37036
,[BV] Strong stochastic stability and rate of mixing for unimodal maps, Ann. Scient. Éc. Norm. Sup., 4e série, 29 (1996), 483-517. | Article | EuDML 82414 | Numdam | MR 1386223 | Zbl 0868.58051
, ,[BC1] On iterations of on , Ann. Math. 122 (1985), 1-25. | MR 799250 | Zbl 0597.58016
and ,[BC2] The dynamics of the Hénon map, Ann. Math. 133 (1991), 73-169. | Article | MR 1087346 | Zbl 0724.58042
and ,[BY1] Absolutely continuous invariant measures and random perturbations for certain one-dimensional maps, Erg. Th. & Dyn. Sys. 12 (1992), 13-37. | Article | MR 1162396 | Zbl 0769.58051
, ,[BY2] -measures for certain Hénon maps, Invent. Math. 112 (1993), 541-576. | Article | EuDML 144113 | MR 1218323 | Zbl 0796.58025
and ,[BV] measures for partially hyperbolic systems with mostly contracting central direction, Isr. J. Math. 115 (2000), 157-193. | Article | MR 1749677 | Zbl 0996.37033
and ,[BR] The ergodic theory of Axiom flows, Invent. Math. 29 (1975), 181-202. | Article | EuDML 142336 | MR 380889 | Zbl 0311.58010
and ,[HPS] Invariant manifolds, Lect. Notes in Math. 583, Springer Verlag, 1977. | MR 501173 | Zbl 0355.58009
, and ,[Ja] Absolutely continuous invariant measures for one-parameter families of one-dimensional maps, Comm. Math. Phys. 81 (1981), 39-88. | Article | MR 630331 | Zbl 0497.58017
,[KK] Random perturbations of transformations of an interval, J. Anal. Math. 47 (1986), 193-237. | Article | MR 874051 | Zbl 0616.60064
and ,[Ki1] Ergodic theory of random transformations, Birkhäuser, Boston Basel, 1986. | Article | MR 884892 | Zbl 0604.28014
,[Ki2] Random perturbations of dynamical systems, Birkhäuser, Boston Basel, 1988. | Article | MR 1015933 | Zbl 0659.58003
,[Ma] Ergodic theory and differentiable dynamics, Springer-Verlag, 1987. | MR 889254 | Zbl 0616.28007
,[Pl] On a conjecture due to Smale, Diff. Uravnenija, 8 (1972), 262-268. | MR 299909 | Zbl 0243.34077
,[Ru] A measure associated with Axiom attractors, Amer. Jour. Math. 98 (1976), 619-654. | Article | MR 415683 | Zbl 0355.58010
,[Si] Gibbs measures in ergodic theory, Russ. Math. Surv. 27, n. 4, (1972), 21-69. | Article | MR 399421 | Zbl 0255.28016
,[Vi1] Multidimensional non-hyperbolic attractors, Publ. Math. IHES 85 (1997), 63-96. | Article | EuDML 104121 | MR 1471866 | Zbl 1037.37016
,[Vi2] Stochastic dynamics of deterministic systems, Lect. Notes XXI Braz. Math Colloq., IMPA, 1997.
,[Yo] Stochastic stability of hyperbolic attractors, Erg. Th. & Dyn. Sys. 6 (1986), 311-319. | MR 857204 | Zbl 0633.58023
,