Fabrizio Bianchi

activity

20142023

most citedEquilibrium states of endomorphisms of

P^{k}

II: spectral stability and limit theorems

3 citations · 10 across the 12 of their papers we have counts for

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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.DS2022

Strong probabilistic stability in holomorphic families of endomorphisms of $P^{k} (C)$ and polynomial-like maps

Fabrizio Bianchi, Karim Rakhimov

We prove that, in stable families of endomorphisms of $P^{k} (C)$ , all invariant measures whose measure-theoretic entropy is strictly larger than $(k - 1) lo g d$ at a…

math.CV2022★ 3 cited

Equilibrium states of endomorphisms of $P^{k}$ II: spectral stability and limit theorems

Fabrizio Bianchi, Tien-Cuong Dinh

We establish the existence of a spectral gap for the transfer operator induced on $P^{k} = P^{k} (C)$ by a generic holomorphic endomorphism and a suitable conti…

Generalized Levi currents and singular loci for families of plurisubharmonic functions

Strong probabilistic stability in holomorphic families of endomorphisms of Pk(C) and polynomial-like maps

Equilibrium states of endomorphisms of Pk II: spectral stability and limit theorems

Strong probabilistic stability in holomorphic families of endomorphisms of $P^{k} (C)$ and polynomial-like maps

Equilibrium states of endomorphisms of $P^{k}$ II: spectral stability and limit theorems