3 citations · 3 across the 7 of their papers we have counts for
7 papers
Unique ergodicity of projective cocycles over the 2D stochastic Navier-Stokes equations
Sam Punshon-Smith, Tommaso Rosati
We consider the linear cocycles generated by the linearized vorticity equation and by passive scalar advection diffusion, both driven by the two dimensional stochastic Navier-Stoke…
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…
Field demonstration of a fully managed, L1 encrypted 3-node network with hybrid relayed-QKD and centralized symmetric classical key management
N. Makris, A. Papageorgopoulos, K. Tsimvrakidis +19
We successfully demonstrated a fully-managed, field-deployed, three-node QKD ring network with L1-OTNsec encryption, that employs a hybrid scheme of QKD and classical yet quantum-s…
The Allen-Cahn equation with weakly critical random initial datum
Simon Gabriel, Tommaso Rosati, Nikos Zygouras
This work considers the two-dimensional Allen-Cahn equation $$ \partial_t u = \frac{1}{2}Δu + \mathfrak{m}\, u -u^3\;, \quad u(0,x)= η(x)\;, \qquad \forall (t,x) \in [0, \infty) \t…