1 citations · 2 across the 7 of their papers we have counts for
12 papers
Spectral gap for projective processes of linear SPDEs
Martin Hairer, Tommaso Rosati
This work studies the angular component associated to the solution of a vector-valued linear hyperviscous SPDE on a -dimensional torus $$\m…
Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise
Martin Hairer, Tommaso Rosati
We prove global in time well-posedness for perturbations of the 2D stochastic Navier-Stokes equations \begin{equation*} \partial_t u + u \cdot \nabla u = Δu - \nabla p + ζ+ ξ \;, \…
Synchronisation for scalar conservation laws via Dirichlet boundary
Ana Djurdjevac, Tommaso Rosati
We provide an elementary proof of geometric synchronisation for scalar conservation laws on a domain with Dirichlet boundary conditions. Unlike previous results, our proof does not…
The Allen-Cahn equation with generic initial datum
Martin Hairer, Khoa Lê, Tommaso Rosati
We consider the Allen-Cahn equation with a rapidly mixing Gaussian field as initial condition. We show that provided that the amplitude of the initial cond…
The wave speed of an FKPP equation with jumps via coordinated branching
Tommaso Rosati, András Tóbiás
We consider a Fisher-KPP equation with nonlinear selection driven by a Poisson random measure. We prove that the equation admits a unique wave speed given by $\…
Lyapunov exponents in a slow environment
Tommaso Rosati
Motivated by the evolution of a population in a slowly varying random environment, we consider the 1D Anderson model on finite volume, with viscosity : $$ \partial_{t} u(t,…
The spatial -Fleming-Viot process in a random environment
Aleksander Klimek, Tommaso Cornelis Rosati
We study the large scale behaviour of a population consisting of two types which evolve in dimension d = 1, 2 according to a spatial Lambda- Fleming-Viot process subject to random…
Synchronization for KPZ
Tommaso Cornelis Rosati
We study the longtime behavior of KPZ-like equations: $$ \partial_{t}h(t,x) = Δ_{x} h (t, x) + | \nabla_{x}h (t,x)|^{2} + η(t, x), \qquad h(0, x) = h_0(x), \qquad (t, x) \in (0, \i…
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…
Modelled distributions of Triebel-Lizorkin type
Sebastian Hensel, Tommaso Rosati
In order to provide a local description of a regular function in a small neighbourhood of a point , it is sufficient by Taylor's theorem to know the value of the function as wel…