1 citations · 4 across the 6 of their papers we have counts for
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A scaling limit of the parabolic Anderson model with exclusion interaction
Dirk Erhard, Martin Hairer
We consider the (discrete) parabolic Anderson model , , , where the -field is -valued…
Weak universality of : polynomial potential and general smoothing mechanism
Dirk Erhard, Weijun Xu
We consider a class of stochastic reaction-diffusion equations on the three dimensional torus. The non-linearities are odd polynomials in the weakly non-linear regime, and the smoo…
The Directed Edge Reinforced Random Walk: The Ant Mill Phenomenon
Dirk Erhard, Tertuliano Franco, Guilherme Reis
We define here a \textit{directed edge reinforced random walk} on a connected locally finite graph. As the name suggests, this walk keeps track of its past, and gives a bias toward…
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…
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…
Local solution to the multi-layer KPZ equation
Ajay Chandra, Dirk Erhard, Hao Shen
In this article we prove local well-posedness of the system of equations on the circle where $1\leq i…