4 papers · 1 filter
Equilibrium fluctuations for a multi-species particle system with long jumps
Giuseppe Cannizzaro, Pedro Cardoso, Lukas Gräfner +1
In the present paper, we study the equilibrium fluctuations of a particle system in infinite volume with two conserved quantities and long-range dependence. More specifically, the…
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…
Top of the spectrum of discrete Anderson Hamiltonians with correlated Gaussian potentials
Giuseppe Cannizzaro, Cyril Labbé, Willem van Zuijlen
We investigate the top of the spectrum of discrete Anderson Hamiltonians with correlated Gaussian noise in the large volume limit. The class of Gaussian noises under consideration…
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…