Harprit Singh

activity

20232025

collaborators

4 papers

math.AP2025

Renormalised Models for Variable Coefficient Singular SPDEs

Lucas Broux, Harprit Singh, Rhys Steele

In this work we prove convergence of renormalised models in the framework of regularity structures [Hai14] for a wide class of variable coefficient singular SPDEs in their full sub…

math.AP2025

Renormalisation of Singular SPDEs with Correlated Coefficients

Nicolas Clozeau, Harprit Singh

We show local well-posedness of the g-PAM and the $ϕ_{2}^{K + 1}$ -equation for $K \geq 1$ on the two-dimensional torus when the coefficient field is random and correlated to the driving…

math.DG2024

Rough geometric integration

Ajay Chandra, Harprit Singh

We introduce a notion of distributional $k$ -forms on $d$ -dimensional manifolds which can be integrated against suitably regular $k$ -submanifolds. Our approach combines ideas from W…

math.AP2023

Canonical solutions to non-translation invariant singular SPDEs

Harprit Singh

We exhibit a canonical, finite dimensional solution family to certain singular SPDEs of the form \begin{equation} \left(\partial_t- \sum_{i,j=1}^d a_{i,j}(x,t) \partial_i \partial_…