3 papers
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 -valued,…
math.PR2023
Uniqueness and tube property for the Swiss cheese large deviations
Julien Poisat, Dirk Erhard
We consider the simple random walk on the Euclidean lattice, in three dimensions and higher, conditioned to visit fewer sites than expected, when the deviation from the mean scales…
math.PR2023
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…