Ghys-like models providing trick for a class of simple maps
| dc.creator | Cheritat, Arnaud | |
| dc.date | 2004-09-30 | |
| dc.date.accessioned | 2026-07-07T05:12:45Z | |
| dc.date.available | 2026-07-07T05:12:45Z | |
| dc.description | For quadratic polynomials with an indifferent fixed point with bounded type rotation number (they have a Siegel disk), much of what is known of their Julia set comes from the study of a quasiconformal model. The model is build from a Blaschke fraction, that we call a pre-model, and that is given by a formula. We give here a geometric construction of pre-model maps, that extends to some cases where no formula is known. More precisely, we are able to make this work for a class of entire maps, very specific but nonetheless spanning uncountably many equivalence classes (thus with probably no hope for a formula), and also in the case of the Lavaurs maps that arise in the parabolic implosion of quadratic polynomials. | |
| dc.description | 32 pages, more than 20 pictures | |
| dc.identifier | https://arxiv.org/abs/math/0410003 | |
| dc.identifier | http://arxiv.org/abs/math/0410003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72698 | |
| dc.subject | Dynamical Systems | |
| dc.title | Ghys-like models providing trick for a class of simple maps | |
| dc.type | text |