Parabolic implosion and Hausdorff dimension;Implosion parabolique et dimension de Hausdorff

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 325, Issue 7, 1997, Pages 765-772

  Douady, Adrien ^a   Sentenac, Pierrette ^a   Zinsmeister, Michel ^b  

^a UNIVERSITÉ PARIS SACLAY   (France)

^b UNIVERSITÉ D'ORLÉANS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031256318     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)80057-2     Document Type: Article

References (10)

1. [1] Aaronson J., Denker M. et Urbanski M., 1993. Ergodic theory for Markov fibered systems and parabolic rational maps, Transl. AMS, 337, 2.
2. [2] Bodart O. et Zinsmeister M., 1996. Quelques résultats sur la dimension de Hausdorff des ensembles de Julia des polynômes quadratiques, Fund. Math.
3. [3] Bowen R., 1979. Hausdorff dimension of quasicircles, Pub. Math. IHES.
4. [4] Denker M. et Urbanski M., 1991. Hausdorff and conformal measures on Julia sets with a rationally indifferent fixed point, J. London Math. Soc., 2, 43, p. 107-118.
5. [5] Douady A., 1994. Does a Julia set depend continuously on the polynomial? Proc. Symp. App. Math., 49, p. 91-135.
6. [6] Lavaurs P., 1989. Systèmes dynamiques holomorphes : Explosion de points périodiques paraboliques, Thèse, Université de Paris-Sud.
7. [7] Mane S. Sad P. et Sullivan D., 1983. On the dynamics of rational maps, Ann. Sci. École Norm. Sup., 4, 16, p. 193-217.
8. [8] Ruelle D., 1982. Repellers for real analytic maps, Erg. Th. Dyn. Sys., 2, p. 99-107.
9. [9] Shishikura M., 1991/7. The Hausdorff dimension of the boundary of the Mandelbrot set and Julia Sets, IMS at Stony Brook, Preprint.
10. [10] Shishikura M. The parabolic bifurcation of rational maps, Coloquio Brasileiro de matematica, 19.