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Volumn 261, Issue , 2000, Pages 13-56

Markov extensions and decay of correlations for certain Hénon maps

Author keywords

Central Limit Theorem; Decay of correlation; H non map; Markov extension

Indexed keywords


EID: 0040801873     PISSN: 03031179     EISSN: None     Source Type: Book Series    
DOI: None     Document Type: Article
Times cited : (95)

References (11)
  • 1
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    • Equilibrium states and the ergodic theory of Anosov diffeomorphism
    • R. Bowen. Equilibrium states and the ergodic theory of Anosov diffeomorphism, volume 470. Springer Lecture Notes in Math., 1975.
    • (1975) Springer Lecture Notes in Math. , vol.470
    • Bowen, R.1
  • 3
    • 0001870459 scopus 로고
    • The dynamics of the Hénon map
    • M. Benedicks and L. Carleson. The dynamics of the Hénon map. Ann. Math., 133:73-169, 1991.
    • (1991) Ann. Math. , vol.133 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 4
    • 33845317713 scopus 로고
    • Sinai-Bowen-Ruelle measures for certain Hénon maps
    • M. Benedicks and L.-S. Young. Sinai-Bowen-Ruelle measures for certain Hénon maps. Invent. Math., 112:541-576, 1993.
    • (1993) Invent. Math. , vol.112 , pp. 541-576
    • Benedicks, M.1    Young, L.-S.2
  • 5
    • 21144471442 scopus 로고
    • Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus
    • N. I. Chernov. Ergodic and statistical properties of piecewise linear hyperbolic automorphisms of the 2-torus. J. of Stat. Phys., 69:111-134, 1992.
    • (1992) J. of Stat. Phys. , vol.69 , pp. 111-134
    • Chernov, N.I.1
  • 6
    • 0000282259 scopus 로고
    • The central limit theorem for stationary processes
    • M. I. Gordin. The central limit theorem for stationary processes. Soviet Math. Dokl., 10(5):1174-1176, 1969.
    • (1969) Soviet Math. Dokl. , vol.10 , Issue.5 , pp. 1174-1176
    • Gordin, M.I.1
  • 7
    • 0007436260 scopus 로고
    • Un théoreme de la limite centrale pour une classe de transformations monotones par morceaux
    • G. Keller. Un théoreme 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.
    • (1980) Comptes Rendus de l'Académie des Sciences, Série A , vol.291 , pp. 155-158
    • Keller, G.1
  • 8
    • 51249183807 scopus 로고
    • Propriétés ergodiques des mesures de Sinai
    • F. Ledrappier. Propriétés ergodiques des mesures de Sinai. Publ. Math. IHES, 59, 1984.
    • (1984) Publ. Math. IHES , vol.59
    • Ledrappier, F.1
  • 11
    • 85033877148 scopus 로고    scopus 로고
    • Statistical properties of dynamical systems with some hyperbolicity
    • L.-S. Young. Statistical properties of dynamical systems with some hyperbolicity. To appear in Ann. Math.
    • Ann. Math.
    • Young, L.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.