3 papers
math.PR2026
Superdiffusive central limit theorem for a class of driven diffusive systems at the critical dimension
Giuseppe Cannizzaro, Tom Klose, Quentin Moulard
We study the large-scale behaviour of a class of driven diffusive systems modelled by a Stochastic Partial Differential Equation, the Stochastic Burgers Equation (SBE) with general…
math.PR2025
Dimers with layered disorder
Quentin Moulard, Fabio Toninelli
We study the dimer model on the square grid, with quenched random edge weights. Randomness is chosen to have a layered structure, similar to that of the celebrated McCoy-Wu disorde…
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…