Quelques résultats sur la dimension de Hausdorff des ensembles de Julia des polynômes quadratiques

Fundamenta Mathematicae

Volumn 151, Issue 2, 1996, Pages 121-137

  Bodart, Olivier ^a   Zinsmeister, Michel ^a  

^a UNIVERSITÉ D'ORLÉANS   (France)

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[No Author keywords available]

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EID: 0002693227     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. J. Aaronson, M. Denker and M. Urbański, Ergodic theory for Markov fibered systems and parabolic rationnal maps, Trans. Amer. Math. Soc. 337 (1993), 495-548.
2. N. Bouleau and D. Lépingle, Numerical Methods for Stochastic Processes, Wiley, 1994.
3. R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Math. 470, Springer, 1975.
4. M. Denker and M. Urbański, Hausdorff and conformal measures on Julia sets with a rationally indifferent fixed point, J. London Math. Soc. (2) 43 (1991), 107-118.
5. Absolutely continuous invariant measures for expansive rational maps with rationally indifferent fixed points, Forum Math. 3 (1991), 561-579.
6. A. Douady et J. Hubbard, Etude dynamique des polynômes complexes I, II, Publ. Math. d'Orsay 84-02, 85-04.
7. L. Gar nett, A computer algorithm for determining the Hausdorff dimension of certain fractals, Math. Comp. 51 (1988), 291-300.
8. T. Ransford, Variation of Hausdorff dimension of Julia sets, Ergodic Theory Dynam. Systems 13 (1993), 167-174.
9. M. Reed and B. Simon, Methods of Modern Mathematical Physics, tome IV, Academic Press, 1978.
10. D. Ruelle, Repellers for real analytic maps, Ergodic Theory Dynam. Systems 2 (1982), 99-108.
11. M. Shishikura, The boundary of the Mandelbrot set has Hausdorff dimension two, in: Complex Analytic Methods in Dynamical Systems, Astérisque 222 (1994), 389-405.