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math.PR2019
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…
math.PR2019
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…
math.PR2019
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…