Latt{\`e}s maps and the interior of the bifurcation locus
| Autor: | Biebler, Sébastien |
|---|---|
| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We show the existence of open sets of bifurcations near Latt{\`e}s maps of sufficiently high degree. In particular, every Latt{\`e}s map has an iterate which is in the closure of the interior of the bifurcation locus. To show this, we design a method to intersect the limit set of some particular type of IFS with a well-oriented curve. Then, we show that a Latt{\`e}s map of sufficiently high degree can be perturbed to exhibit this geometry. |
| Databáze: | arXiv |
| Externí odkaz: |
|