Fabrizio Bianchi

activity

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

collaborators

9 papers

math.DS2024

Pressure path metrics on parabolic families of polynomials

Fabrizio Bianchi, Yan Mary He

Let $Λ$ be a subfamily of the moduli space of degree $D \geq 2$ polynomials defined by a finite number of parabolic relations. Let $Ω$ be a bounded stable component of $Λ$ with the pr…

math.DS2024

On the support of measures of large entropy for polynomial-like maps

Sardor Bazarbaev, Fabrizio Bianchi, Karim Rakhimov

Let $f$ be a polynomial-like map with dominant topological degree $d_{t} \geq 2$ and let $d_{k - 1} < d_{t}$ be its dynamical degree of order $k - 1$ . We show that the support of every ergodi…

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.CV2023★ 2 cited

Monotonicity of dynamical degrees for H{é}non-like and polynomial-like maps

Fabrizio Bianchi, Tien-Cuong Dinh, Karim Rakhimov

We prove that, for every invertible horizontal-like map (i.e., H{é}non-like map) in any dimension, the sequence of the dynamical degrees is increasing until that of maximal value,…

math.CV2022

Generalized Levi currents and singular loci for families of plurisubharmonic functions

Fabrizio Bianchi, Samuele Mongodi

We show how the formalism of Levi currents on complex manifolds, as introduced by Sibony, can be used to study the analytic structure of singular sets associated to families of plu…

math.DS2016★ 2 cited

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