3 papers
math.PR2025
Superdiffusive Central Limit Theorem for the Stochastic Burgers Equation at the critical dimension
Giuseppe Cannizzaro, Quentin Moulard, Fabio Toninelli
The Stochastic Burgers Equation (SBE) is a singular, non-linear Stochastic Partial Differential Equation (SPDE) that describes, on mesoscopic scales, the fluctuations of stochastic…
math.PR2024
Lecture notes on stationary critical and super-critical SPDEs
Giuseppe Cannizzaro, Fabio Toninelli
The goal of these lecture notes is to present recent results regarding the large-scale behaviour of critical and super-critical non-linear stochastic PDEs, that fall outside the re…
math.PR2024
An invariance principle for the 2d weakly self-repelling Brownian polymer
Giuseppe Cannizzaro, Harry Giles
We investigate the large-scale behaviour of the Self-Repelling Brownian Polymer (SRBP) in the critical dimension . The SRBP is a model of self-repelling motion, which is forma…