Fabrizio Bianchi

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20142024

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

2 citations · 6 across the 9 of their papers we have counts for

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math.DS2023

A Mañé-Manning formula for expanding measures for endomorphisms of $P^{k}$

Fabrizio Bianchi, Yan Mary He

Let $k \geq 1$ be an integer and $f$ a holomorphic endomorphism of $P^{k} (C)$ of algebraic degree $d \geq 2$ . We introduce a volume dimension for ergodic $f$ -invariant…

math.DS2016★ 2 cited

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

Fabrizio Bianchi

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 u…

math.DS2016★ 1 cited

Perturbations d'exemples de Lattès et dimension de Hausdorff du lieu de bifurcation

François Berteloot, Fabrizio Bianchi

We give an estimate for the Hausdorff dimension of the bifurcation locus of a family of endomorphisms of $P^{k} (C)$ . This dimension is maximal near isolated Lattès…

math.DS2015

Holomorphic motion for Julia sets of holomorphic families of endomorphisms of CP(k)

François Berteloot, Fabrizio Bianchi

We build measurable holomorphic motions for Julia sets of holomorphic families of endomorphisms of CP(k) under various equivalent notions of stability.

A Mañé-Manning formula for expanding measures for endomorphisms of Pk

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

Perturbations d'exemples de Lattès et dimension de Hausdorff du lieu de bifurcation

Holomorphic motion for Julia sets of holomorphic families of endomorphisms of CP(k)

A Mañé-Manning formula for expanding measures for endomorphisms of $P^{k}$