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Volumn 9, Issue 3, 1999, Pages 327-390

Homeomorphisms between limbs of the Mandelbrot set

Author keywords

Complex polynomials; Connectedness loci; Holomorphic dynamics; Julia sets; Quasi conformal mappings; Surgery; The Mandelbrot set

Indexed keywords


EID: 0043150666     PISSN: 10506926     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02921981     Document Type: Article
Times cited : (16)

References (27)
  • 2
    • 84972029136 scopus 로고
    • Bifurcations of Dynamic Rays in Complex Polynomials of Degree Two
    • Atela, P. Bifurcations of Dynamic Rays in Complex Polynomials of Degree Two, Erg. Th. & Dyn. Sys., 12, 401-423, (1991).
    • (1991) Erg. Th. & Dyn. Sys. , vol.12 , pp. 401-423
    • Atela, P.1
  • 3
    • 27544514665 scopus 로고
    • Holomorphic families of injections
    • Bers, L. and Royden, H.L. Holomorphic families of injections, Acta Math., 157, 259-286, (1986).
    • (1986) Acta Math. , vol.157 , pp. 259-286
    • Bers, L.1    Royden, H.L.2
  • 4
    • 84968494997 scopus 로고
    • Complex Analytic Dynamics on the Riemann Sphere
    • Blanchard, P. Complex Analytic Dynamics on the Riemann Sphere, Bull. Am. Math. Soc., 11, 85-141, (1984).
    • (1984) Bull. Am. Math. Soc. , vol.11 , pp. 85-141
    • Blanchard, P.1
  • 6
    • 0042148793 scopus 로고
    • Surgery on Complex Polynomials
    • Proceedings of the Symposium on Dynamical Systems, Mexico, Springer-Verlag
    • Branner, B. and Douady, A. Surgery on Complex Polynomials, Proceedings of the Symposium on Dynamical Systems, Mexico, 1986, Lecture Notes in Math., 1345, 11-72, Springer-Verlag.
    • (1986) Lecture Notes in Math , vol.1345 , pp. 11-72
    • Branner, B.1    Douady, A.2
  • 7
    • 0001058412 scopus 로고
    • The Iteration of Cubic Polynomials. Part I: The Global Topology of Parameter Space
    • Branner, B. and Hubbard, J.H. The Iteration of Cubic Polynomials. Part I: The Global Topology of Parameter Space, Acta Mathematica 160, 143-206, (1988).
    • (1988) Acta Mathematica , vol.160 , pp. 143-206
    • Branner, B.1    Hubbard, J.H.2
  • 9
    • 0003354480 scopus 로고
    • Chirugie sur les Applications Holomorphes
    • Berkeley
    • Douady, A. Chirugie sur les Applications Holomorphes, Proc. Int. Congr. Math., Berkeley, 724-738, 1986.
    • (1986) Proc. Int. Congr. Math. , pp. 724-738
    • Douady, A.1
  • 10
    • 0001007209 scopus 로고
    • Iterations des Polynomes Quadratiques Complexes
    • Douady, A. and Hubbard, J.H. Iterations des Polynomes Quadratiques Complexes, C. R. Acad. Sci., Paris, Ser. I, 29, 123-126, (1982).
    • (1982) C. R. Acad. Sci., Paris, Ser. I , vol.29 , pp. 123-126
    • Douady, A.1    Hubbard, J.H.2
  • 11
    • 0003206472 scopus 로고
    • Etude dynamique des polynomes complexes, I, II
    • Douady, A. and Hubbard, J.H. Etude dynamique des polynomes complexes, I, II, Publ. Math. Orsay, (1984, 1985).
    • (1984) Publ. Math. Orsay
    • Douady, A.1    Hubbard, J.H.2
  • 13
    • 21844505814 scopus 로고
    • Limiting Dynamics of the Complex Standard Family
    • Fagella, N. Limiting Dynamics of the Complex Standard Family, Int. J. Bif. Chaos, 3, 673-700, (1995).
    • (1995) Int. J. Bif. Chaos , vol.3 , pp. 673-700
    • Fagella, N.1
  • 14
    • 0001856454 scopus 로고
    • Fixed Points of Polynomial Maps II: Fixed Point Portraits
    • Goldberg, L. and Milnor, J. Fixed Points of Polynomial Maps II: Fixed Point Portraits, Ann. Sci. Ec. Norm. Super., 26, 51-98, (1993).
    • (1993) Ann. Sci. Ec. Norm. Super. , vol.26 , pp. 51-98
    • Goldberg, L.1    Milnor, J.2
  • 15
    • 0002808228 scopus 로고
    • Local Connectivity of Julia Sets and Bif. Loci: Three Theorems of J.-C. Yoccoz
    • Publish or Perrish
    • Hubbard, J.H. Local Connectivity of Julia Sets and Bif. Loci: Three Theorems of J.-C. Yoccoz, Topological Methods in Modern Mathematics, Publish or Perrish, 467-511, (1993).
    • (1993) Topological Methods in Modern Mathematics , pp. 467-511
    • Hubbard, J.H.1
  • 18
    • 0003028556 scopus 로고
    • Complex Dynamics and Renormalization
    • Princeton University Press, Princeton, NJ
    • McMullen, C.T. Complex Dynamics and Renormalization, Ann. Math. Studies, 135, Princeton University Press, Princeton, NJ, 1994.
    • (1994) Ann. Math. Studies , vol.135
    • McMullen, C.T.1
  • 21
    • 0000808002 scopus 로고
    • On the Pommerenke-Levin-Yoccoz Inequality
    • Petersen, C.L. On the Pommerenke-Levin-Yoccoz Inequality, Erg. Th Dyn. Sys., 13, 785-806, (1993).
    • (1993) Erg. Th Dyn. Sys. , vol.13 , pp. 785-806
    • Petersen, C.L.1
  • 24
    • 84968521092 scopus 로고
    • Holomorphic motions and polynomial hulls
    • Slodkowski, Z. Holomorphic motions and polynomial hulls, Proc. Am. Math. Soc., 111, 347-355, (1991).
    • (1991) Proc. Am. Math. Soc. , vol.111 , pp. 347-355
    • Slodkowski, Z.1
  • 25
    • 27544481771 scopus 로고
    • Extending holomorphic motions
    • Sullivan, D. and Thurston, W.P. Extending holomorphic motions, Acta Math., 157, 243-257, (1986).
    • (1986) Acta Math. , vol.157 , pp. 243-257
    • Sullivan, D.1    Thurston, W.P.2
  • 27
    • 0013185497 scopus 로고
    • Voisinages Connexes des Points de Misiurewicz
    • Lei, T. Voisinages Connexes des Points de Misiurewicz, Ann. Inst. Fourier, 42(4), 707-735, (1992).
    • (1992) Ann. Inst. Fourier , vol.42 , Issue.4 , pp. 707-735
    • Lei, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.