DISCONNECTED JULIA SET AND ROTATION SETS

Authors
Citation
G. Levin, DISCONNECTED JULIA SET AND ROTATION SETS, Annales Scientifiques de l'Ecole Normale Superieure, 29(1), 1996, pp. 1-22
Citations number
27
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00129593
Volume
29
Issue
1
Year of publication
1996
Pages
1 - 22
Database
ISI
SICI code
0012-9593(1996)29:1<1:DJSARS>2.0.ZU;2-I
Abstract
Let Psi be the conformal isomorphism from the complement of the unit d isc to the complement of the Mandelbrot set N. We study the map Psi at the roots of the hyperbolic components of M. It is shown that the fun ction (log \w - w(0) \(-1))(-1) describes Psi at each periodic point w (0) of the map w --> w(2).