Wild recurrent critical points
| dc.creator | Rivera-Letelier, Juan | |
| dc.date | 2004-06-21 | |
| dc.date.accessioned | 2026-07-07T05:09:27Z | |
| dc.date.available | 2026-07-07T05:09:27Z | |
| dc.description | It is conjectured that a rational map whose coefficients are algebraic over $\Q_p$ has no wandering components of the Fatou set. R. Benedetto has shown that any counter example to this conjecture must have a wild recurrent critical point. We provide here the first examples of rational maps whose coefficients are algebraic over $\Q_p$ and that have a (wild) recurrent critical point. In fact, we show that there is such a rational map in every one parameter family of rational maps that is defined over a finite extension of $\Q_p$ and that has a Misiurewicz bifurcation. | |
| dc.identifier | https://arxiv.org/abs/math/0406417 | |
| dc.identifier | http://arxiv.org/abs/math/0406417 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71632 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Number Theory | |
| dc.title | Wild recurrent critical points | |
| dc.type | text |