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Volumn 11, Issue 2-3, 2004, Pages 241-260

External arguments and invariant measures for the quadratic family

Author keywords

Absolutely continuous invariant measure; Complex dynamics; Hubbard tree; Mandelbrot set

Indexed keywords


EID: 4944240912     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.2004.11.241     Document Type: Article
Times cited : (7)

References (26)
  • 3
    • 0002340071 scopus 로고    scopus 로고
    • Quasi-symmetry of conjugacies between interval maps
    • Bruin, H. (1996): Quasi-symmetry of conjugacies between interval maps. Nonlinearity 9, 1191-1207.
    • (1996) Nonlinearity , vol.9 , pp. 1191-1207
    • Bruin, H.1
  • 4
    • 0005038888 scopus 로고
    • Topological conditions for the existence of invariant measures for unimodal maps
    • Bruin, H. (1994): Topological conditions for the existence of invariant measures for unimodal maps. Ergodic Theory Dyn. Syst. 14, 433-451.
    • (1994) Ergodic Theory Dyn. Syst. , vol.14 , pp. 433-451
    • Bruin, H.1
  • 5
    • 0000251948 scopus 로고
    • Ordered orbits of the shift, square roots and the Devil's staircase
    • Bullett, S.; Sentenac, P. (1994): Ordered orbits of the shift, square roots and the Devil's staircase, Math. Proc. Camb. Phi. Soc. 115, 451-481.
    • (1994) Math. Proc. Camb. Phi. Soc. , vol.115 , pp. 451-481
    • Bullett, S.1    Sentenac, P.2
  • 7
    • 0009068559 scopus 로고
    • Systèmes Dynamiques Holomorphes
    • Séminaire Bourbaki
    • Douady, A. (1982): Systèmes Dynamiques Holomorphes. Séminaire Bourbaki, 599. Astérisque 105-106, 39-63.
    • (1982) Astérisque , vol.599 , pp. 105-106
    • Douady, A.1
  • 8
    • 0003023968 scopus 로고
    • In Chaotic Dynamics and Fractals, Atlanta 1985, Notes Rep. Math. Sci. Eng
    • Douady, A. (1985): Algorithm for computing angles in the Mandelbrot set, In Chaotic Dynamics and Fractals, Atlanta 1985, Notes Rep. Math. Sci. Eng. 2, 155-168.
    • (1985) Algorithm for Computing Angles in the Mandelbrot Set , vol.2 , pp. 155-168
    • Douady, A.1
  • 9
    • 0003206472 scopus 로고
    • Étude dynamique des polynômes complexes I and II
    • Douady, A.; Hubbard, J. H. (1984-1985): Étude dynamique des polynômes complexes I and II, Pub.Math. d'Orsay 84-02 and 85-02.
    • (1984) Pub.Math. D'Orsay , vol.84-85 , Issue.2
    • Douady, A.1    Hubbard, J.H.2
  • 10
    • 0001539882 scopus 로고
    • On the dynamics of polynomial-like mappings
    • Douady, A.; Hubbard, J.H. (1985): On the dynamics of polynomial-like mappings. Ann. scient. Éc Norm. Sup. (4), 18, 287-343.
    • (1985) Ann. Scient. Éc Norm. Sup. , vol.4 , pp. 18
    • Douady, A.1    Hubbard, J.H.2
  • 12
    • 0041647842 scopus 로고    scopus 로고
    • Modulation dans l'ensemble de Mandelbrot
    • Cambridge University Press
    • Haïssinsky, P. (1999): Modulation dans l'ensemble de Mandelbrot. In "The Mandelbrot set, theme and variations", Cambridge University Press.
    • (1999) The Mandelbrot Set, Theme and Variations
    • Haïssinsky, P.1
  • 14
    • 0000868141 scopus 로고
    • The topological entropy of a transformation x → ax(1 - X)
    • Hofbauer, F. (1980): The topological entropy of a transformation x → ax(1 - x). Monath. Math. 90, 117-141.
    • (1980) Monath. Math. , vol.90 , pp. 117-141
    • Hofbauer, F.1
  • 16
    • 0032333133 scopus 로고    scopus 로고
    • Local connectivity of the Julia Set of Real Polynomials
    • Levin, G: van Strien, S. (1998): Local connectivity of the Julia Set of Real Polynomials. Ann. of Math. (2) 147, 471-541.
    • (1998) Ann. of Math. (2) , vol.147 , pp. 471-541
    • Levin, G.1    Van Strien, S.2
  • 17
    • 0001057166 scopus 로고    scopus 로고
    • Dynamics of quadratic polynomials. I-II
    • Lyubich, M.(1997): Dynamics of quadratic polynomials. I-II Acta Math. 178, 185-297.
    • (1997) Acta Math. , vol.178 , pp. 185-297
    • Lyubich, M.1
  • 19
    • 0000970386 scopus 로고    scopus 로고
    • Invariant measure for typical quadratics maps
    • Martens, M.; Nowicki, T. (2000): Invariant measure for typical quadratics maps. Astérisque 261 239-252.
    • (2000) Astérisque , vol.261 , pp. 239-252
    • Martens, M.1    Nowicki, T.2
  • 22
    • 0011549927 scopus 로고
    • Self-similarity and hairiness in the Mandelbrot set
    • Computers in Geometry and Topology (Tangora, edit.), Dekker
    • Milnor, J. (1989): Self-similarity and hairiness in the Mandelbrot set. In: Computers in Geometry and Topology (Tangora, edit.), Lect. Notes Pure Appl. Math. 114, Dekker, 211-257.
    • (1989) Lect. Notes Pure Appl. Math. , vol.114 , pp. 211-257
    • Milnor, J.1
  • 23
    • 0002046772 scopus 로고
    • Invariant measures exist under a summability condition for unimodal maps
    • Nowicki, T.; van Strien, S. (1991): Invariant measures exist under a summability condition for unimodal maps. Invent. Math., 105, 123-136.
    • (1991) Invent. Math. , vol.105 , pp. 123-136
    • Nowicki, T.1    Van Strien, S.2
  • 24
    • 0000297708 scopus 로고    scopus 로고
    • Local connectivity of some Julia sets containing a circle with an irrational rotation
    • Petersen, C. L. (1996): Local connectivity of some Julia sets containing a circle with an irrational rotation. Act. Math., 177, 163-224.
    • (1996) Act. Math. , vol.177 , pp. 163-224
    • Petersen, C.L.1
  • 26
    • 0033483410 scopus 로고    scopus 로고
    • Complex bounds for renormalization of critical circle maps
    • Yampolsky, M. (1999): Complex bounds for renormalization of critical circle maps. Erg. Th. and Dyn. Sys. 19, 227-257.
    • (1999) Erg. Th. and Dyn. Sys. , vol.19 , pp. 227-257
    • Yampolsky, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.