8 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 .…
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…
Elliptic stochastic quantization of Sinh-Gordon QFT
Nikolay Barashkov, Francesco C. De Vecchi
The (elliptic) stochastic quantization equation for the (massive) model, for the charged parameter in the regime (i.e. $β^2 < 4 Ï$), is studied. We prove th…