2 citations · 4 across the 12 of their papers we have counts for
4 papers · 2 filters
Singularity of solutions to singular SPDEs
Martin Hairer, Seiichiro Kusuoka, Hirotatsu Nagoji
Building on the notes [Hai17], we give a sufficient condition for the marginal distribution of the solution of singular SPDEs on the -dimensional torus to be singular with respe…
Scaling limit of the KPZ equation with non-integrable spatial correlations
Luca Gerolla, Martin Hairer, Xue-Mei Li
We study the large scale fluctuations of the KPZ equation in dimensions driven by Gaussian noise that is white in time Gaussian but features non-integrable spatial corre…
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,…
Renormalisation in the presence of variance blowup
Martin Hairer
We show that if one drives the KPZ equation by the derivative of a space-time white noise smoothened out at scale and multiplied by then, as…