26 citations · 107 across the 13 of their papers we have counts for
13 papers
Limit theorems for stochastic Volterra processes
Luigi Amedeo Bianchi, Stefano Bonaccorsi, Ole Cañadas +1
We introduce an abstract Hilbert space-valued framework of Markovian lifts for stochastic Volterra equations with operator-valued Volterra kernels. Our main results address the exi…
Limits of stochastic Volterra equations driven by Gaussian noise
Luigi Amedeo Bianchi, Stefano Bonaccorsi, Martin Friesen
We study stochastic Volterra equations in Hilbert spaces driven by cylindrical Gaussian noise. We derive a mild formulation for the stochastic Volterra equation, prove the equivale…
A class of fractional Ornstein-Uhlenbeck processes mixed with a Gamma distribution
Luigi Amedeo Bianchi, Stefano Bonaccorsi, Luciano Tubaro
We consider a sequence of fractional Ornstein-Uhlenbeck processes, that are defined as solutions of a family of stochastic Volterra equations with kernel given by the Riesz derivat…
Linear Stochastic Dyadic model
Luigi Amedeo Bianchi, Francesco Morandin
We discuss a stochastic interacting particles' system connected to dyadic models of turbulence, defining suitable classes of solutions and proving their existence and uniqueness. W…
The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation
Luigi Amedeo Bianchi, Dirk Blömker
We consider the impact of additive Gaussian white noise on a supercritical pitchfork bifurcation in an unbounded domain. As an example we focus on the stochastic Swift-Hohenberg eq…
Stochastic Navier-Stokes Equations and Related Models
Luigi Amedeo Bianchi, Franco Flandoli
Regularization by noise for certain classes of fluid dynamic equations, a theme dear to Giuseppe Da Prato (see G. Da Prato and A. Debussche, Ergodicity for the 3D stochastic Navier…