Holomorphic motions of weighted periodic points
Complex Variables
2023-07-25 v1 Dynamical Systems
Abstract
We study the holomorphic motions of repelling periodic points in stable families of endomorphisms of . 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.
Cite
@article{arxiv.2307.12734,
title = {Holomorphic motions of weighted periodic points},
author = {Fabrizio Bianchi and Maxence Brévard},
journal= {arXiv preprint arXiv:2307.12734},
year = {2023}
}