Séminaires : Séminaire de Systèmes Dynamiques

Equipe(s) : gd,
Responsables :H. Eliasson, B. Fayad, R. Krikorian, P. Le Calvez
Email des responsables :
Salle : 15-25-502
Adresse :Campus Pierre et Marie Curie

Archive avant 2015

Hébergé par le projet Géométrie et Dynamique de l’IMJ

Orateur(s) Núria Fagella - Barcelone,
Titre Simply connected wandering domains in complex dynamics
Horaire14:00 à 15:45
RésumeIterating holomorphic functions on the complex plane goes back to root-finding algorithms like Newton's method, but the basis of the rich theory that lies behind has its origin at the beginning of the 20th century. The dynamics inside periodic components of the stable set has a strong link with classical theorems of complex analysis like the Denjoy-Wolff Theorem about analytic maps of the unit disk. The fractal boundaries of such components arising so naturally from iteration often present interesting topological properties which may play a role when trying to transfer results from the unit disk back to the dynamical plane. However, if the components are not periodic but wandering, we need to reach further and consider non-autonomous iteration. Wandering domains are the least understood among all stable components. In this talk we will present some recent results about the dynamics inside wandering domains and also on their boundaries. Many of the results are proven in the very general setting of non-autonomous dynamics or even for sequences of holomorphic maps.
AdresseCampus Pierre et Marie Curie