Holomorphic motions of Julia sets: dynamical stability in one and several complex variables – Fabrizio Bianchi (Université de Lille, France)

Venue

Sala Seminari

Abstract

We discuss the stability of holomorphic dynamical systems under perturbation. In dimension 1, the theory is now classical and is based on works by Lyubich, Mané-Sad-Sullivan and DeMarco. I will review this theory and present a recent generalisation valid in any dimension. Since classical 1-dimensional techniques no longer apply in higher dimensions, our approach is based on ergodic and pluripotential methods.

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