4 papers
Superdiffusive Invariance Principle for the two-dimensional Asymmetric Simple Exclusion Process
Quentin Moulard
We consider the Asymmetric Simple Exclusion Process (ASEP) at its critical dimension , started from the Bernoulli product measure with density . We first derive th…
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…
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…
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…