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International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volumn 9, Issue 9, 1999, Pages 1763-1769
On hausdorff measures and SBR measures for parabolic rational maps
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EID: 0038853477     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127499001243     Document Type: Article
Times cited : (1)
References (11)
  • 1
    • 84968503810 scopus 로고
    • Ergodic theory for Markov fibred systems and parabolic rational maps
    • Aaronson, J., Denker, M. & Urbański, M. [1993] "Ergodic theory for Markov fibred systems and parabolic rational maps," Trans. Am. Math. Soc. 337, 495-548.
    • (1993) Trans. Am. Math. Soc. , vol.337 , pp. 495-548
    • Aaronson, J.1    Denker, M.2    Urbański, M.3
  • 3
    • 84950357804 scopus 로고
    • Invariant sets under iteration of rational functions
    • Brolin, H. [1965] "Invariant sets under iteration of rational functions," Ark. f. Mat. 6, 103-144.
    • (1965) Ark. F. Mat. , vol.6 , pp. 103-144
    • Brolin, H.1
  • 4
    • 0039123326 scopus 로고
    • Absolutely continuous invariant measures for expansive rational maps with rationally indifferent periodic points
    • Denker, M. & Urbański, M. [1991] "Absolutely continuous invariant measures for expansive rational maps with rationally indifferent periodic points," Forum Math. 3, 107-118.
    • (1991) Forum Math. , vol.3 , pp. 107-118
    • Denker, M.1    Urbański, M.2
  • 5
    • 84972066024 scopus 로고
    • Geometric measures for parabolic rational maps
    • Denker, M. & Urbański, M. [1992a] "Geometric measures for parabolic rational maps," Ergod. Th. Dyn. Syst. 12, 53-66.
    • (1992) Ergod. Th. Dyn. Syst. , vol.12 , pp. 53-66
    • Denker, M.1    Urbański, M.2
  • 6
    • 0040232718 scopus 로고
    • The dichotomy of Hausdorff measures and equilibrium states for parabolic rational maps
    • eds. Krengel, U., Richter, K. & Warstat. V., Lecture Notes in Mathematics 1514
    • Denker, M. & Urbański, M. [1992b] "The dichotomy of Hausdorff measures and equilibrium states for parabolic rational maps," in Ergodic Theory and Related Topics III, Proc., Güstrow 1990, eds. Krengel, U., Richter, K. & Warstat. V., Lecture Notes in Mathematics 1514, pp. 90-113.
    • (1992) Ergodic Theory and Related Topics III, Proc., Güstrow 1990 , pp. 90-113
    • Denker, M.1    Urbański, M.2
  • 7
    • 0007453241 scopus 로고
    • Relating Hausdorff and harmonic measures on parabolic Jordan curves
    • Denker, M. & Urbański, M. [1994] "Relating Hausdorff and harmonic measures on parabolic Jordan curves," J. f. d. Reine und Angew. Mathematik 450, 181-201.
    • (1994) J. F. D. Reine und Angew. Mathematik , vol.450 , pp. 181-201
    • Denker, M.1    Urbański, M.2
  • 8
    • 84959830189 scopus 로고
    • On the distortion of boundary sets under conformal mappings
    • Makarov, N. G. [1985] "On the distortion of boundary sets under conformal mappings," Proc. London Math. Soc. 51, 369-384.
    • (1985) Proc. London Math. Soc. , vol.51 , pp. 369-384
    • Makarov, N.G.1
  • 9
    • 0002125493 scopus 로고
    • Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps, I
    • Przytycki, F., Urbański, M. & Zdunik, A. [1989] "Harmonic, Gibbs and Hausdorff measures on repellers for holomorphic maps, I," Part I: Ann. Math. 130, 1-40.
    • (1989) Part I: Ann. Math. , vol.130 , pp. 1-40
    • Przytycki, F.1    Urbański, M.2    Zdunik, A.3
  • 10
    • 0039715548 scopus 로고
    • On an estimate of Makarov in conformal mapping
    • Rohde, S. [1988] "On an estimate of Makarov in conformal mapping," Complex Variables 10, 381-386.
    • (1988) Complex Variables , vol.10 , pp. 381-386
    • Rohde, S.1

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