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

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 ${\mathbb{P}}^k$.

References in corpus (1)

• Non density of stability for holomorphic mappings on P^k