Geometria Complessa e Geometria Differenziale
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F. Bianchi

Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree

created by stoppato on 03 Jul 2017
modified by bianchi on 11 Dec 2020

[BibTeX]

Published Paper

Inserted: 3 jul 2017
Last Updated: 11 dec 2020

Journal: Math. Annalen
Year: 2019

ArXiv: 1612.02760 PDF
Links: arXiv

Abstract:

Given a family of polynomial-like maps of large topological degree, we relate the presence of Misiurewicz parameters to a growth condition of the postcritical volume. This allows us to generalize to this setting the theory of stability and bifurcation developed by Berteloot, Dupont and the author for endomorphisms of $\mathbb{P}^k$.

Tags: FIRB2012-DGGFT

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