1 citations · 1 across the 3 of their papers we have counts for
6 papers
Synchronisation for scalar conservation laws via Dirichlet boundary
Ana Djurdjevac, Tommaso Rosati
We provide an elementary proof of geometric synchronisation for scalar conservation laws on a domain with Dirichlet boundary conditions. Unlike previous results, our proof does not…
The Allen-Cahn equation with generic initial datum
Martin Hairer, Khoa Lê, Tommaso Rosati
We consider the Allen-Cahn equation with a rapidly mixing Gaussian field as initial condition. We show that provided that the amplitude of the initial cond…
Lyapunov exponents in a slow environment
Tommaso Rosati
Motivated by the evolution of a population in a slowly varying random environment, we consider the 1D Anderson model on finite volume, with viscosity : $$ \partial_{t} u(t,…
Killed Rough Super-Brownian Motion
Tommaso Cornelis Rosati
This note extends the results in [8] to construct the rough super-Brownian motion on finite volume with Dirichlet boundary conditions. The backbone of this study is the convergence…
A Rough Super-Brownian Motion
Nicolas Perkowski, Tommaso Cornelis Rosati
We study the scaling limit of a branching random walk in static random environment in dimension and show that it is given by a super-Brownian motion in a white noise potent…
The KPZ Equation on the Real Line
Nicolas Perkowski, Tommaso Cornelis Rosati
We prove existence and uniqueness of distributional solutions to the KPZ equation globally in space and time, with techniques from paracontrolled analysis. Our main tool for extend…