Martin Hairer

activity

20232026

most citedRenormalisation in the presence of variance blowup

2 citations · 4 across the 12 of their papers we have counts for

collaborators

Showing 2024Show all

4 papers · 1 filter

math.PR2024

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 $d$ -dimensional torus to be singular with respe…

math.PR2024★ 1 cited

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 $d \geq 3$ driven by Gaussian noise that is white in time Gaussian but features non-integrable spatial corre…

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 $\partial u (t, x) / \partial t = Δ u (t, x) + ξ_{t} (x) u (t, x)$ , $t \geq 0$ , $x \in Z^{d}$ . Here, the $ξ$ -field is $R$ -valued,…

math.PR2024★ 2 cited

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 $ε ≪ 1$ and multiplied by $ε^{3/4}$ then, as…