4 papers
Renormalisation of Singular SPDEs with Correlated Coefficients
Nicolas Clozeau, Harprit Singh
We show local well-posedness of the g-PAM and the -equation for on the two-dimensional torus when the coefficient field is random and correlated to the drivin…
Rough geometric integration
Ajay Chandra, Harprit Singh
We introduce a notion of distributional -forms on -dimensional manifolds which can be integrated against suitably regular -submanifolds. Our approach combines ideas from W…
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…
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_…