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Volumn 36, Issue 4, 2003, Pages 621-646

Decay of correlations in one-dimensional dynamics

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EID: 0141464951     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-9593(03)00025-9     Document Type: Article
Times cited : (86)

References (32)
  • 1
    • 0000640307 scopus 로고    scopus 로고
    • Strong stochastic stability and rate of mixing for unimodal maps
    • Baladi V. Viana M. Strong stochastic stability and rate of mixing for unimodal maps Ann. Sci. Éc. Norm. Sup. 29 1996 483-517
    • (1996) Ann. Sci. Éc. Norm. Sup. , vol.29 , pp. 483-517
    • Baladi, V.1    Viana, M.2
  • 3
    • 0001870459 scopus 로고
    • The dynamics of the Hénon map
    • Benedicks M. Carleson L. The dynamics of the Hénon map Ann. Math. 133 1991 73-169
    • (1991) Ann. Math. , vol.133 , pp. 73-169
    • Benedicks, M.1    Carleson, L.2
  • 7
    • 0141755429 scopus 로고    scopus 로고
    • Expansion of derivatives in one-dimensional dynamics
    • (to appear)
    • Bruin H., van Strien S., Expansion of derivatives in one-dimensional dynamics, Israel J. Math. (to appear)
    • Israel J. Math.
    • Bruin, H.1    van Strien, S.2
  • 9
    • 0035645066 scopus 로고    scopus 로고
    • Statistics of closes return times for some non uniformly hyperbolic systems
    • Collet P. Statistics of closes return times for some non uniformly hyperbolic systems Ergodic Theory Dynam. Systems 21 2001 401-420
    • (2001) Ergodic Theory Dynam. Systems , vol.21 , pp. 401-420
    • Collet, P.1
  • 10
    • 0009077570 scopus 로고
    • Sensitive dependence on initial conditions for unimodal maps
    • Guckenheimer J. Sensitive dependence on initial conditions for unimodal maps Comm. Math. Phys. 70 1979 133-160
    • (1979) Comm. Math. Phys. , vol.70 , pp. 133-160
    • Guckenheimer, J.1
  • 11
    • 0002053804 scopus 로고
    • Absolutely continuous invariant measures for one-parameter families of one-dimensional maps
    • Jakobson M.V. Absolutely continuous invariant measures for one-parameter families of one-dimensional maps Comm. Math. Phys. 81 1981 39-88
    • (1981) Comm. Math. Phys. , vol.81 , pp. 39-88
    • Jakobson, M.V.1
  • 12
    • 84971960550 scopus 로고
    • Exponents, attractors, and Hopf decompositions for interval maps
    • Keller G. Exponents, attractors, and Hopf decompositions for interval maps Ergodic Theory Dynam. Systems 10 1990 717-744
    • (1990) Ergodic Theory Dynam. Systems , vol.10 , pp. 717-744
    • Keller, G.1
  • 13
    • 0002160620 scopus 로고
    • Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps
    • Keller G. Nowicki T. Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps Comm. Math. Phys. 149 1992 31-69
    • (1992) Comm. Math. Phys. , vol.149 , pp. 31-69
    • Keller, G.1    Nowicki, T.2
  • 14
    • 0034310140 scopus 로고    scopus 로고
    • Getting rid of the negative Schwarzian derivative condition
    • Kozlovski O. Getting rid of the negative Schwarzian derivative condition Ann. Math. 152 2000 743-762
    • (2000) Ann. Math. , vol.152 , pp. 743-762
    • Kozlovski, O.1
  • 15
    • 0010913688 scopus 로고
    • Some properties of absolutely continuous measures of an interval
    • Ledrappier F. Some properties of absolutely continuous measures of an interval Ergodic Theory Dynam. Systems 1 1981 77-93
    • (1981) Ergodic Theory Dynam. Systems , vol.1 , pp. 77-93
    • Ledrappier, F.1
  • 18
    • 34250112903 scopus 로고
    • Hyperbolicity, sinks and measure in one dimensional dynamics
    • Mañé R. Hyperbolicity, sinks and measure in one dimensional dynamics Comm. Math. Phys. 100 1985 495-524
    • (1985) Comm. Math. Phys. , vol.100 , pp. 495-524
    • Mañé, R.1
  • 20
    • 51249183577 scopus 로고
    • Absolutely continuous measures for certain maps of an interval
    • Misiurewicz M. Absolutely continuous measures for certain maps of an interval Publ. IHÉS 53 1981 17-51
    • (1981) Publ. IHÉS , vol.53 , pp. 17-51
    • Misiurewicz, M.1
  • 21
    • 0032382986 scopus 로고    scopus 로고
    • Non-uniform hyperbolicity and universal bounds for S-unimodal maps
    • Nowicki T. Sands D. Non-uniform hyperbolicity and universal bounds for S-unimodal maps Invent. Math. 132 1998 633-680
    • (1998) Invent. Math. , vol.132 , pp. 633-680
    • Nowicki, T.1    Sands, D.2
  • 22
    • 0002046772 scopus 로고
    • Absolutely continuous measures under a summability condition
    • Nowicki T. van Strien S. Absolutely continuous measures under a summability condition Invent. Math. 105 1991 123-136
    • (1991) Invent. Math. , vol.105 , pp. 123-136
    • Nowicki, T.1    van Strien, S.2
  • 23
    • 33646869539 scopus 로고    scopus 로고
    • Iterations of holomorphic Collet-Eckmann maps: Conformal and invariant measures
    • Przytycki F. Iterations of holomorphic Collet-Eckmann maps: conformal and invariant measures Trans. Amer. Math. Soc. 350 1998 717-742
    • (1998) Trans. Amer. Math. Soc. , vol.350 , pp. 717-742
    • Przytycki, F.1
  • 25
    • 0033457439 scopus 로고    scopus 로고
    • Positive Lyapunov exponents for maps with flat critical points
    • Thunberg H. Positive Lyapunov exponents for maps with flat critical points Ergodic Theory Dynam. Systems 1998 767-807
    • (1998) Ergodic Theory Dynam. Systems , pp. 767-807
    • Thunberg, H.1
  • 26
    • 0040363763 scopus 로고
    • Small random perturbations of one-dimensional dynamical systems and Margulis-Pesin entropy formula
    • Tsujii M. Small random perturbations of one-dimensional dynamical systems and Margulis-Pesin entropy formula Random Comput. Dynam. 1 1992 59-89
    • (1992) Random Comput. Dynam. , vol.1 , pp. 59-89
    • Tsujii, M.1
  • 27
    • 0001132718 scopus 로고
    • Positive Lyapunov exponents in families of one-dimensional dynamical systems
    • Tsujii M. Positive Lyapunov exponents in families of one-dimensional dynamical systems Invent. Math. 111 1993 113-137
    • (1993) Invent. Math. , vol.111 , pp. 113-137
    • Tsujii, M.1
  • 28
    • 0030532937 scopus 로고    scopus 로고
    • Measure of minimal sets of polymodal maps
    • Vargas E. Measure of minimal sets of polymodal maps Ergodic Theory Dynam. Systems 16 1996 159-178
    • (1996) Ergodic Theory Dynam. Systems , vol.16 , pp. 159-178
    • Vargas, E.1
  • 30
    • 0001470078 scopus 로고
    • Decay of correlations of certain quadratic maps
    • Young L.-S. Decay of correlations of certain quadratic maps Comm. Math. Phys. 146 1992 123-138
    • (1992) Comm. Math. Phys. , vol.146 , pp. 123-138
    • Young, L.-S.1
  • 31
    • 0032348050 scopus 로고    scopus 로고
    • Statistical properties of dynamical systems with some hyperbolicity
    • Young L.-S. Statistical properties of dynamical systems with some hyperbolicity Ann. of Math. 147 1998 585-650
    • (1998) Ann. of Math. , vol.147 , pp. 585-650
    • Young, L.-S.1
  • 32
    • 0001396372 scopus 로고    scopus 로고
    • Recurrence times and rates of mixing
    • Young L.-S. Recurrence times and rates of mixing Israel J. Math. 110 1999 153-188
    • (1999) Israel J. Math. , vol.110 , pp. 153-188
    • Young, L.-S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.