@incollection{AST_2000__261__13_0, author = {Benedicks, Michael and Young, Lai-Sang}, title = {Markov extensions and decay of correlations for certain {H\'enon} maps}, booktitle = {G\'eom\'etrie complexe et syst\`emes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995}, editor = {Flexor Marguerite and Sentenac Pierrette and Yoccoz Jean-Christophe}, series = {Ast\'erisque}, pages = {13--56}, publisher = {Soci\'et\'e math\'ematique de France}, number = {261}, year = {2000}, mrnumber = {1755436}, zbl = {1044.37013}, language = {en}, url = {http://archive.numdam.org/item/AST_2000__261__13_0/} }
TY - CHAP AU - Benedicks, Michael AU - Young, Lai-Sang TI - Markov extensions and decay of correlations for certain Hénon maps BT - Géométrie complexe et systèmes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995 AU - Collectif ED - Flexor Marguerite ED - Sentenac Pierrette ED - Yoccoz Jean-Christophe T3 - Astérisque PY - 2000 SP - 13 EP - 56 IS - 261 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_2000__261__13_0/ LA - en ID - AST_2000__261__13_0 ER -
%0 Book Section %A Benedicks, Michael %A Young, Lai-Sang %T Markov extensions and decay of correlations for certain Hénon maps %B Géométrie complexe et systèmes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995 %A Collectif %E Flexor Marguerite %E Sentenac Pierrette %E Yoccoz Jean-Christophe %S Astérisque %D 2000 %P 13-56 %N 261 %I Société mathématique de France %U http://archive.numdam.org/item/AST_2000__261__13_0/ %G en %F AST_2000__261__13_0
Benedicks, Michael; Young, Lai-Sang. Markov extensions and decay of correlations for certain Hénon maps, dans Géométrie complexe et systèmes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995, Astérisque, no. 261 (2000), pp. 13-56. http://archive.numdam.org/item/AST_2000__261__13_0/
[B] Equilibrium states and the ergodic theory of Anosov diffeomorphism, volume 470. Springer Lecture Notes in Math., 1975. | MR | Zbl
.[BC1] On iterations of on . Ann. Math., 122:1-25, 1985. | MR | Zbl
and .[BC2] The dynamics of the Hénon map. Ann. Math., 133:73-169, 1991. | DOI | MR | Zbl
and .[BY] Sinai-Bowen-Ruelle measures for certain Hénon maps. Invent. Math., 112:541-576, 1993. | DOI | EuDML | MR | Zbl
and .[C] Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus. J. of Stat. Phys., 69:111-134, 1992. | DOI | MR | Zbl
.[G] The central limit theorem for stationary processes. Soviet Math. Dokl., 10(5):1174-1176, 1969. | MR | Zbl
.[K] Un théorème de la limite centrale pour une classe de transformations monotones par morceaux. Comptes Rendus de l'Académie des Sciences, Série A, 291:155-158, 1980. | MR | Zbl
.[L] Propriétés ergodiques des mesures de Sinai. Publ. Math. IHES, 59, 1984. | DOI | EuDML | Numdam | MR | Zbl
.[PS] Ergodic attractors. Trans. Amer. Math. Soc., 312:1-54, 1989. | DOI | MR | Zbl
and .[R] Thermodynamic formalism. Addison-Wesley, New-York, 1978. | MR
.[Y] Statistical properties of dynamical systems with some hyperbolicity. To appear in Ann. Math. | MR | Zbl
.