30 citations · 58 across the 17 of their papers we have counts for
20 papers
A scaling limit of the 2D parabolic Anderson model with exclusion interaction
Dirk Erhard, Martin Hairer, Tiecheng Xu
We consider the (discrete) parabolic Anderson model , , . Here, the -field is -valued,…
Nonequilibrium Joint Fluctuations for Current and Occupation Time in The Symmetric Exclusion Process
Dirk Erhard, Tertuliano Franco, Tiecheng Xu
We provide a full description for the joint fluctuations of current and occupation time in the one-dimensional nonequilibrium simple symmetric exclusion process, furnishing explici…
Strong large deviation principles for pair empirical measures of random walks in the Mukherjee-Varadhan topology
Dirk Erhard, Julien Poisat
In this paper we introduce a topology under which the pair empirical measure of a large class of random walks satisfies a strong Large Deviation principle. The definition of the to…
Weak coupling limit of the Anisotropic KPZ equation
Giuseppe Cannizzaro, Dirk Erhard, Fabio Toninelli
In the present work, we study the two-dimensional anisotropic KPZ equation (AKPZ), which is formally given by \begin{equation*} \partial_t h=\tfrac12 Δh + λ((\partial_1 h)^2)-(\par…
Stochastic processes with competing reinforcements
Dirk Erhard, Guilherme Reis
We introduce a simple but powerful technique to study processes driven by two or more reinforcement mechanisms in competition. We apply our method to two types of models: to non co…
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…