Markov extensions and decay of correlations for certain Hénon maps
Géométrie complexe et systèmes dynamiques - Colloque en l'honneur d'Adrien Douady Orsay, 1995, Astérisque, no. 261 (2000), pp. 13-56.
@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, in 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] R. Bowen. Equilibrium states and the ergodic theory of Anosov diffeomorphism, volume 470. Springer Lecture Notes in Math., 1975. | MR | Zbl

[BC1] M. Benedicks and L. Carleson. On iterations of 1-ax 2 on (-1,1). Ann. Math., 122:1-25, 1985. | MR | Zbl

[BC2] M. Benedicks and L. Carleson. The dynamics of the Hénon map. Ann. Math., 133:73-169, 1991. | DOI | MR | Zbl

[BY] M. Benedicks and L.-S. Young. Sinai-Bowen-Ruelle measures for certain Hénon maps. Invent. Math., 112:541-576, 1993. | DOI | EuDML | MR | Zbl

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

[K] G. Keller. 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] F. Ledrappier. Propriétés ergodiques des mesures de Sinai. Publ. Math. IHES, 59, 1984. | DOI | EuDML | Numdam | MR | Zbl

[PS] C. Pugh and M. Shub. Ergodic attractors. Trans. Amer. Math. Soc., 312:1-54, 1989. | DOI | MR | Zbl

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

[Y] L.-S. Young. Statistical properties of dynamical systems with some hyperbolicity. To appear in Ann. Math. | MR | Zbl