12 citations · 41 across the 16 of their papers we have counts for
17 papers
Exponential integrability of the solution to the stochastic Burgers equation driven by white noise
Francesco C. De Vecchi, Josef Janák, Enrico Priola
We study stochastic Burgers equation driven by a rough noise , where is the Laplacian in one dimension with Dirichlet boundary conditions, and . We p…
A criterion for proving entropy chaos on path space
Luigi Borasi, Francesco Carlo De Vecchi, Stefania Ugolini
A criterion for proving a strong form of propagation of chaos on the path space, known as entropy chaos, for a general interacting diffusion system is proposed. Our analysis focuse…
Invariance properties of Brownian motion via Lie's symmetries
Susanna Dehò, Francesco C. De Vecchi, Paola Morando +1
The invariance properties of Brownian motion are investigated and revisited within a recent Lie symmetry approach to stochastic differential equations. Some notable properties of t…
Discrete reaction-diffusion system with stochastic dynamical boundary conditions: convergence results
Francesca Arceci, Francesco Carlo De Vecchi, Daniela Morale +1
A space discrete approximation to a highly nonlinear reaction-diffusion system endowed with a stochastic dynamical boundary condition is analyzed and the convergence of the discret…
A stochastic approach to time-dependent BEC
Luigi Borasi, Francesco C. De Vecchi, Stefania Ugolini
We propose a stochastic description of the dynamics of a Bose-Einstein condensate within the context of Nelson stochastic mechanics. We start from the interacting conservative…
Stochastic Hartree NLS in 3d coming from a Many-Body Quantum System with White Noise Potential
Francesco Carlo De Vecchi, Xiaohao Ji, Immanuel Zachhuber
In this paper, we consider the defocusing Hartree NLS with white noise external potential on T^3 i.e. the Hartree NLS whose linear part is given by the Anderson Hamiltonian. A Stri…