4 papers · 1 filter
Fluctuations in the weakly coupled 4D Anderson Hamiltonian
Simon Gabriel, Tommaso Rosati
We study the weak coupling limit of the Anderson Hamiltonian in the critical dimension . In a perturbative sense, we prove Gaussian fluctuations about the Green's function of…
Invariant measures for the open KPZ equation: an analytic perspective
Alexander Dunlap, Yu Gu, Tommaso Rosati
The ergodic theory of the open KPZ equation has seen significant progress in recent years, with explicit invariant measures described in a series of works by Corwin--Knizel, Barraq…
Lower bounds on the top Lyapunov exponent for linear PDEs driven by the 2D stochastic Navier-Stokes equations
Martin Hairer, Sam Punshon-Smith, Tommaso Rosati +1
We consider the top Lyapunov exponent associated to the advection-diffusion and linearised Navier-Stokes equations on the two-dimensional torus. The velocity field is given by the…
Quantitative instability for stochastic scalar reaction-diffusion equations
Alexandra Blessing, Tommaso Rosati
This work studies the instability of stochastic scalar reaction diffusion equations, driven by a multiplicative noise that is white in time and smooth in space, near to zero, which…