Farey curves.
Fatou components whose boundaries have a common curve
We show that the Fatou components of a certain transcendental entire function have a common curve in their boundaries.
Fatou maps in dynamics.
Fixed points and periodic points of semiflows of holomorphic maps.
Fractal Newton basins.
Fractions rationnelles hyperboliques p-adiques
From Newton’s method to exotic basins Part I: The parameter space
This is the first part of the work studying the family of all rational maps of degree three with two superattracting fixed points. We determine the topological type of the moduli space of and give a detailed study of the subfamily consisting of maps with a critical point which is periodic of period 2. In particular, we describe a parabolic bifurcation in from Newton maps to maps with so-called exotic basins.