메뉴 건너뛰기




Volumn 166, Issue 1, 2007, Pages 145-182

Density of hyperbolicity in dimension one

Author keywords

[No Author keywords available]

Indexed keywords


EID: 37849048093     PISSN: 0003486X     EISSN: None     Source Type: Journal    
DOI: 10.4007/annals.2007.166.145     Document Type: Article
Times cited : (87)

References (31)
  • 1
    • 85036993039 scopus 로고    scopus 로고
    • L. V. AHLFORS, Lectures on Quasiconformal Mappings, The Wadsworth & Brooks/Cole Mathematics Series, Wadsworth & Brooks/Cole Advanced Books & Software, Monterey, CA, 1987, With the assistance of Clifford J. Earle, Jr., Reprint of the 1966 original.
    • L. V. AHLFORS, Lectures on Quasiconformal Mappings, The Wadsworth & Brooks/Cole Mathematics Series, Wadsworth & Brooks/Cole Advanced Books & Software, Monterey, CA, 1987, With the assistance of Clifford J. Earle, Jr., Reprint of the 1966 original.
  • 3
    • 0034406383 scopus 로고    scopus 로고
    • Typical limit sets of critical points for smooth interval maps
    • A. BLOKH and M. MISIUREWICZ, Typical limit sets of critical points for smooth interval maps, Ergodic Theory Dynam. Systems 20 (2000), 15-45.
    • (2000) Ergodic Theory Dynam. Systems , vol.20 , pp. 15-45
    • BLOKH, A.1    MISIUREWICZ, M.2
  • 4
    • 38349010110 scopus 로고    scopus 로고
    • Existence of unique srb-measures is typical for unimodal families
    • preprint
    • H. BRUIN, W. SHEN, and S. VAN STRIEN, Existence of unique srb-measures is typical for unimodal families, preprint, 2004.
    • (2004)
    • BRUIN, H.1    SHEN, W.2    VAN STRIEN, S.3
  • 5
    • 0000704409 scopus 로고    scopus 로고
    • Rigidity of critical circle mappings. I
    • E. DE FARIA and W. DE MELO, Rigidity of critical circle mappings. I, J. Eur. Math. Soc. 1 (1999), 339-392.
    • (1999) J. Eur. Math. Soc , vol.1 , pp. 339-392
    • DE FARIA, E.1    DE MELO, W.2
  • 6
    • 0003206472 scopus 로고
    • Étude Dynamique des Polynômes Complexes
    • Université de Paris-Sud, Département de Mathématiques, Orsay, with the collaboration of P. Lavaurs, Tan Lei and P. Sentenac
    • A. DOUADY and J. H. HUBBARD, Étude Dynamique des Polynômes Complexes. Partie II, Publications Mathématiques d'Orsay, vol. 85, Université de Paris-Sud, Département de Mathématiques, Orsay, 1985, with the collaboration of P. Lavaurs, Tan Lei and P. Sentenac.
    • (1985) Partie II, Publications Mathématiques d'Orsay , vol.85
    • DOUADY, A.1    HUBBARD, J.H.2
  • 8
    • 0001661194 scopus 로고
    • Sur les equations fonctionnelles, II
    • P. FATOU, Sur les equations fonctionnelles, II, Bull. Soc. Math. Frunce 48 (1920), 33-94.
    • (1920) Bull. Soc. Math. Frunce , vol.48 , pp. 33-94
    • FATOU, P.1
  • 9
    • 0040836908 scopus 로고    scopus 로고
    • Polynomial-like property for real quadratic polynomials
    • J. GRACZYKK and G. ŚWIA̧TEK, Polynomial-like property for real quadratic polynomials, Topology Proc. 21 (1996), 33-112.
    • (1996) Topology Proc , vol.21 , pp. 33-112
    • GRACZYKK, J.1    ŚWIA̧TEK, G.2
  • 10
    • 0031530948 scopus 로고    scopus 로고
    • Generic hyperbolicity in the logistic family
    • _, Generic hyperbolicity in the logistic family, Ann. of Math. 146 (1997), 1-52.
    • (1997) Ann. of Math , vol.146 , pp. 1-52
    • GRACZYKK, J.1    ŚWIA̧TEK, G.2
  • 12
    • 0000594664 scopus 로고
    • Smooth mappings of the circle into itself
    • M. V. JAKOBSON, Smooth mappings of the circle into itself, Mat. Sb. 85 (127) (1971), 163-188.
    • (1971) Mat. Sb , vol.85 , Issue.127 , pp. 163-188
    • JAKOBSON, M.V.1
  • 13
    • 0034310140 scopus 로고    scopus 로고
    • Getting rid of the negative Schwarzian derivative condition
    • O. S. KOZLOVSKI, Getting rid of the negative Schwarzian derivative condition, Ann. of Math. 152 (2000), 743-762.
    • (2000) Ann. of Math , vol.152 , pp. 743-762
    • KOZLOVSKI, O.S.1
  • 15
    • 0032333133 scopus 로고    scopus 로고
    • Local connectivity of the Julia set of real polynomials
    • G. LEVIN and S. VAN STRIEN, Local connectivity of the Julia set of real polynomials, Ann. of Math. 147 (1998), 471-541.
    • (1998) Ann. of Math , vol.147 , pp. 471-541
    • LEVIN, G.1    VAN STRIEN, S.2
  • 16
    • 0034335937 scopus 로고    scopus 로고
    • _, Bounds for maps of an interval with one critical point of inflection type. II, Invent. Math. 141 (2000), 399-465.
    • _, Bounds for maps of an interval with one critical point of inflection type. II, Invent. Math. 141 (2000), 399-465.
  • 17
    • 0344551989 scopus 로고    scopus 로고
    • Regular or stochastic dynamics in real analytic families of unimodal maps
    • M. LYUBICH, A. AVILA, and W. DE MELO, Regular or stochastic dynamics in real analytic families of unimodal maps, Invent. Math. 154 (2003), 451-550.
    • (2003) Invent. Math , vol.154 , pp. 451-550
    • LYUBICH, M.1    AVILA, A.2    DE MELO, W.3
  • 18
    • 0031516893 scopus 로고    scopus 로고
    • Dynamics of quadratic polynomials: Complex bounds for real maps
    • M. LYUBICH and M. YAMPOLSKY, Dynamics of quadratic polynomials: complex bounds for real maps, Ann. Inst. Fourier (Grenoble) 47 (1997), 1219-1255.
    • (1997) Ann. Inst. Fourier (Grenoble) , vol.47 , pp. 1219-1255
    • LYUBICH, M.1    YAMPOLSKY, M.2
  • 19
    • 0001057166 scopus 로고    scopus 로고
    • Dynamics of quadratic polynomials. I, II
    • M. LYUBICH, Dynamics of quadratic polynomials. I, II, Acta Math. 178 (1997), 185-247, 247-297.
    • (1997) Acta Math , vol.178
    • LYUBICH, M.1
  • 20
    • 0036662554 scopus 로고    scopus 로고
    • Almost every real quadratic map is either regular or stochastic
    • _, Almost every real quadratic map is either regular or stochastic, Ann. of Math. 156 (2002), 1-78.
    • (2002) Ann. of Math , vol.156 , pp. 1-78
    • LYUBICH, M.1
  • 23
    • 33749569489 scopus 로고    scopus 로고
    • A global view of dynamics and a conjecture on the denseness of finitude of attractors
    • J. PALIS, A global view of dynamics and a conjecture on the denseness of finitude of attractors, Astérisque 261 (2000) , xiii-xiv, 335-347
    • (2000) Astérisque , vol.261
    • PALIS, J.1
  • 25
    • 0041913058 scopus 로고    scopus 로고
    • On the measurable dynamics of real rational functions
    • W. SHEN, On the measurable dynamics of real rational functions, Ergodic Theory Dynam. Systems 23 (2003), no. 3, 957-983.
    • (2003) Ergodic Theory Dynam. Systems , vol.23 , Issue.3 , pp. 957-983
    • SHEN, W.1
  • 26
    • 2442421060 scopus 로고    scopus 로고
    • 2 density of axiom a
    • 2 density of axiom a, Invent. Math 156 (2004), 301-403.
    • (2004) Invent. Math , vol.156 , pp. 301-403
    • SHEN, W.1
  • 28
    • 84968521092 scopus 로고
    • Holomorphic motions and polinomial hulls
    • Z. SLODKOWSKI, Holomorphic motions and polinomial hulls, Proc. Amer. Math. Soc.111 (1991), 347-255.
    • (1991) Proc. Amer. Math. Soc , vol.111 , pp. 347-255
    • SLODKOWSKI, Z.1
  • 29
    • 85036980898 scopus 로고    scopus 로고
    • S. SMALE, The Work of Curtis T. McMullen, Proc. International Congress of Mathematicians, I (Berlin, 1998), 1998, pp. 127-132 (electronic).
    • S. SMALE, The Work of Curtis T. McMullen, Proc. International Congress of Mathematicians, Vol. I (Berlin, 1998), 1998, pp. 127-132 (electronic).
  • 31
    • 10044223044 scopus 로고    scopus 로고
    • Real bounds, ergodicity and negative Schwarzian for multimodal maps
    • electronic
    • S. VAN STRIEN and E. VARGAS, Real bounds, ergodicity and negative Schwarzian for multimodal maps, J. Amer. Math. Soc. 17 (2004), 749-782 (electronic).
    • (2004) J. Amer. Math. Soc , vol.17 , pp. 749-782
    • VAN STRIEN, S.1    VARGAS, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.