Décompositions en cascades des systèmes automatiques et feuilletages invariants
Dédoublement de courbes invariantes sur le cylindre : petits diviseurs
Diffeomorphisms with Invariant Line Bundles.
Dynamics of symmetric holomorphic maps on projective spaces.
We consider complex dynamics of a critically finite holomorphic map from Pk to Pk, which has symmetries associated with the symmetric group Sk+2 acting on Pk, for each k ≥1. The Fatou set of each map of this family consists of attractive basins of superattracting points. Each map of this family satisfies Axiom A.