1 citations · 2 across the 2 of their papers we have counts for
3 papers
math.PR2019★ 1 cited
2D Anisotropic KPZ at stationarity: scaling, tightness and non triviality
G. Cannizzaro, D. Erhard, P. Schönbauer
In this work we focus on the two-dimensional anisotropic KPZ (aKPZ) equation, which is formally given by \begin{equation*}\partial_t h =\fracν{2}Δh + λ((\partial_1 h)^2 - (\partial…
math.PR2019
The Slow Bond Random Walk and the Snapping Out Brownian Motion
Dirk Erhard, Tertuliano Franco, Diogo S. da Silva
We consider the continuous time symmetric random walk with a slow bond on , which rates are equal to for all bonds, except for the bond of vertices , whi…
math.PR2012★ 1 cited
The parabolic Anderson model in a dynamic random environment: basic properties of the quenched Lyapunov exponent
Dirk Erhard, Frank den Hollander, Grégory Maillard
In this paper we study the parabolic Anderson equation \partial u(x,t)/\partial t=κΔu(x,t)+ξ(x,t)u(x,t), x\in\Z^d, t\geq 0, where the u-field and the ξ-field are \R-valued, κ\in [0…