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},
     year = {2000},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {261},
     mrnumber = {1755436},
     zbl = {1044.37013},
     language = {en},
     url = {https://www.numdam.org/item/AST_2000__261__13_0/}
}
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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. https://www.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. | Zbl | MR

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

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

[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. | MR | Zbl | DOI

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

[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. | MR | Zbl | EuDML | Numdam | DOI

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

[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