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arXiv · 2307.12734

Holomorphic motions of weighted periodic points

Fabrizio Bianchi·Maxence Brévard
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Abstract

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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Fabrizio Bianchi, Maxence Brévard. 2023-07-24. Holomorphic motions of weighted periodic points. https://arxiv.org/abs/2307.12734

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