Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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F. Bianchi - M. Brévard

Holomorphic motions of weighted periodic points

created by bianchi on 29 Mar 2024



Inserted: 29 mar 2024
Last Updated: 29 mar 2024

Year: 2023

ArXiv: 2307.12734 PDF


We study the holomorphic motions of repelling periodic points in stable families of endomorphisms of $\mathbb P^k (\mathbb C)$. In particular, we establish an asymptotic equidistribution of the graphs associated to such periodic points with respect to natural measures in the space of all holomorphic motions of points in the Julia sets.

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