3 papers
math.PR2026
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…
math.PR2024
Discretisation of regularity structures
Dirk Erhard, Martin Hairer
We introduce a general framework allowing to apply the theory of regularity structures to discretisations of stochastic PDEs. The approach pursued in this article is that we do not…
math.PR2024
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 -valu…