Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Holomorphic motions of Julia sets: dynamical stability in one and several complex variables

Fabrizio Bianchi (CNRS and Laboratoire Paul Painlevé, Lille)

created by daniele on 12 Sep 2022

15 sep 2022 -- 14:00

Sala Seminari, DM, Pisa

Seminari di Sistemi Dinamici, Pisa

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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