Geometry of hyperbolic Julia-Lavaurs sets

Indagationes Mathematicae

Volumn 12, Issue 2, 2001, Pages 273-292

  Urbański, Mariusz ^a   Zinsmeister, Michel ^b  

^a UNIVERSITY OF NORTH TEXAS   (United States)

^b UNIVERSITÉ D'ORLÉANS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035908293     PISSN: 00193577     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0019-3577(01)80032-X     Document Type: Article

References (14)

1. Benedetti R., Petronio C. Lectures on Hyperbolic Geometry. 1992;Springer-Verlag, Berlin.
2. Douady A. Does a Julia set depend continuously on the polynomial? Proceedings of Symposia in Applied Mathematics. 49:1994;91-135.
3. Duady A., Hubbard J. Étude dynamique des polynomes complexes. 1984;84-02 Publications Mathematiques d'Orsay. (première et deuxième partie).
4. Duady A., Hubbard J. Étude dynamique des polynomes complexes. 1984;85-04 Publications Mathematiques d'Orsay. (première et deuxième partie).
5. Douady A., Sentenac P., Zinsmeister M. Implosion parabolique et dimension de Hausdorff. C.R. Acad. Sci. 325:1997;765-772. Paris, Ser. I, Math.
6. Kato T. Perturbation theory for linear operators. 1995;Springer.
7. Mauldin R.D., Urbański M. Dimensions and measures in infinite iterated function systems. Proc. London Math. Soc. 73:(3):1996;105-154.
8. Mauldin, R.D. and M. Urbański - Graph Directed Markov Systems. To appear.
9. Mauldin D., Urbański M. Gibbs states on the symbolic space over an infinite alphabet. 1999;. To appear Israel J. Math.
10. Mauldin D., Urbański M. Conformal iterated function systems with applications to the geometry of continued fractions. Transactions of A.M.S. 351:1999;4995-5025.
11. Pommerenke Ch. Boundary behaviour of conformal maps. 1992;Springer.
12. Urbański M. Rigidity of multi-dimensional conformal iterated function systems. 2000;. Warwick Preprint.
13. Urbański M., Zinsmeister M. Continuity of Hausdorff dimension of Julia-Lavaurs sets as a function of the phase. 2000;. to appear Journal of Conformal Geometry and Dynamics.
14. Zinsmeister, M. - Petals and dimension. Zinsmeister's webpage.