22 citations · 22 across the 5 of their papers we have counts for
18 papers
Stability of ground state eigenvalues of non-local Schrödinger operators with respect to potentials and applications
Giacomo Ascione, József Lőrinczi
In a first part of this paper we investigate the continuity (stability) of the spectrum of a class of non-local Schrödinger operators on varying the potentials. By imposing conditi…
Mean field sparse optimal control of systems with additive white noise
Giacomo Ascione, Daniele Castorina, Francesco Solombrino
We analyze the problem of controlling a multi-agent system with additive white noise through parsimonious interventions on a selected subset of the agents (leaders). For such a con…
Deterministic control of SDEs with stochastic drift and multiplicative noise: a variational approach
Giacomo Ascione, Giuseppe D'Onofrio
We consider a linear stochastic differential equation with stochastic drift and multiplicative noise. We study the problem of approximating its solution with the process that solve…
A matrix Harnack inequality for semilinear heat equations
Giacomo Ascione, Daniele Castorina, Giovanni Catino +1
We derive a matrix version of Li \& Yau--type estimates for positive solutions of semilinear heat equations on Riemannian manifolds with nonnegative sectional curvatures and parall…
A spherical rearrangement proof of the stability of a Riesz-type inequality and an application to an isoperimetric type problem
Giacomo Ascione
We prove the stability of the ball as global minimizer of an attractive shape functional under volume constraint, by means of mass transportation arguments. The stability exponent…
Convergence results for the Time-Changed fractional Ornstein-Uhlenbeck processes
Giacomo Ascione, Yuliya Mishura, Enrica Pirozzi
In this paper we study some convergence results concerning the one-dimensional distribution of a time-changed fractional Ornstein-Uhlenbeck process. In particular, we establish tha…