no. 1
Disconnected Julia set and rotation sets
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 29 (1996) no. 1, pp. 1-22. 
@article{ASENS_1996_4_29_1_1_0,
     author = {Levin, Genadi},
     title = {Disconnected {Julia} set and rotation sets},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {1--22},
     publisher = {Elsevier},
     volume = {Ser. 4, 29},
     number = {1},
     year = {1996},
     doi = {10.24033/asens.1733},
     mrnumber = {96k:30029},
     zbl = {0857.30024},
     language = {en},
     url = {http://archive.numdam.org/articles/10.24033/asens.1733/}
}
TY  - JOUR
AU  - Levin, Genadi
TI  - Disconnected Julia set and rotation sets
JO  - Annales scientifiques de l'École Normale Supérieure
PY  - 1996
SP  - 1
EP  - 22
VL  - 29
IS  - 1
PB  - Elsevier
UR  - http://archive.numdam.org/articles/10.24033/asens.1733/
DO  - 10.24033/asens.1733
LA  - en
ID  - ASENS_1996_4_29_1_1_0
ER  - 
%0 Journal Article
%A Levin, Genadi
%T Disconnected Julia set and rotation sets
%J Annales scientifiques de l'École Normale Supérieure
%D 1996
%P 1-22
%V 29
%N 1
%I Elsevier
%U http://archive.numdam.org/articles/10.24033/asens.1733/
%R 10.24033/asens.1733
%G en
%F ASENS_1996_4_29_1_1_0
Levin, Genadi. Disconnected Julia set and rotation sets. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 29 (1996) no. 1, pp. 1-22. doi : 10.24033/asens.1733. http://archive.numdam.org/articles/10.24033/asens.1733/

[1] V. I. Arnold, Geometrical methods in the theory of ordinary differential equations, Springer-Verlag, 1983. | MR | Zbl

[2] L. Ahlfors and L. Bers, The Riemann mapping theorem for variable metrics (Annals of Mathematics, Vol. 72, 1960, pp. 385-404). | MR | Zbl

[3] M. G. Arsove and G. Jr. Johnson, A conformal mapping technique for infinitely connected regions (Memoirs of the AMS, Vol. 91, 1970). | MR | Zbl

[4] B. Branner, Cubic polynomials : turning around the connectedness locus, The Technical University of Denmark, Mat-report 1992-2005.

[5] M. F. Barnsley, J. S. Geronimo, and A. N. Harrington, Geometrical and electrical properties of some Julia sets (Lecture Notes in Pure and Applied Mathematics, Vol. 92, 1988). | MR | Zbl

[6] B. Branner and J. H. Hubbard, The iteration of cubic polynomials, Part I : The global topology of parameter space (Acta Mathematica, Vol. 160, 1988, pp. 143-206). | MR | Zbl

[7] S. Bullett and P. Sentenac, Ordered orbits of the shift, square roots, and the devil's staircase (Preprint, Université Paris-Sud Mathématiques, 91-39, 1991).

[8] A. Douady, Algorithms for computing angles in the Mandelbrot set (Caotic Dynamics and Fractals, ed. Barnsley and Demko, Acad. Press, 1986, pp. 155-168). | MR | Zbl

[9] A. Douady and J. H. Hubbard, Iteration of complex quadratic polynomials (C.R.A.S., Vol. 294, 1982, pp. 123-126). | MR | Zbl

[10] A. Douady and J. H. Hubbard, On the dynamics of polynomial-like mappings (Ann. École Norm. Sup., (4), Vol. 18, 1985, pp. 287-343). | Numdam | MR | Zbl

[11] A. Douady and J. H. Hubbard, Étude dynamique des polynomes complexes I, II (Publication Mathématiques d'Orsay, no. 84-02, 1984, no. 85-04, 1985). | Zbl

[12] A. Eremenko and G. Levin, On periodic points of polynomials (Ukrainskii Math. Journal, v. 41, n. 11, 1989). | MR | Zbl

[13] J. Guckenheimer, preprint of Cornell University.

[14] L. R. Goldberg and J. Milnor, Fixed Points of Polynomial Maps II. Fixed Point Portraits (Ann. Scient. École Norm. Sup., (4), Vol. 26, 1993, pp. 51-98). | Numdam | MR | Zbl

[15] J. H. Hubbard, Local connectivity of Julia sets and bifurcation loci : three theorems of J.-C. Yoccoz, preprint IHES, October 1992.

[16] P. Lavaurs, Une description combinatoire de l'involution définie par M sur les rationnels à dénominateur impair (C.R.A.S., Vol. 303, 1986, pp. 143-146). | MR | Zbl

[17] G. Levin, On Pommerenke's inequality for the eigenvalues of fixed points (Colloquium Mathematicum, Vol. LXII, fasc. 1, 1991, pp. 168-177). | MR | Zbl

[18] G. Levin, On the complement of the Mandelbrot set (Israel Journal of Mathematics, Vol. 88, 1994, pp. 189-212). | MR | Zbl

[19] G. Levin and F. Przytycki, External rays to periodic points (Israel Journal of Mathematics, to appear). | Zbl

[20] G. Levin and M. Sodin, Polynomials with disconnected Julia sets and Green maps (The Hebrew University of Jerusalem, preprint no. 23, 1990/1991).

[21] Ch. Pommerenke, On conformal mapping and iteration of rational functions (Complex Variables, Vol. 5 (2-4), 1986, pp. 117-126). | MR | Zbl

[22] C. L. Petersen, On the Pommerenke-Levin-Yoccoz inequality (Ergodic Theory and Dynamical Systems, Vol. 13, 1993, pp. 785-806). | MR | Zbl

[23] M. Sodin and P. Yuditski, The limit-periodic finite difference operator on l2 (ℤ) associated with iterations of quadratic polynomials (J. Stat. Phys., Vol. 60, 1990, pp. 863-873). | MR | Zbl

[24] L. Sario and M. Nakai, Classification theory of Riemann Surfaces, Springer-Verlag, 1970. | MR | Zbl

[25] P. Veerman, Symbolic dynamics and rotation numbers (Physica 13A, 1986, pp. 543-576). | MR | Zbl

[26] J.-C. Yoccoz, Sur la taille des membres de l'ensemble de Mandelbrot, manuscript (1987).

Cité par Sources :