3 citations · 4 across the 4 of their papers we have counts for
4 papers
Homogenisation of singular SPDEs
Martin Hairer, Harprit Singh
We introduce an approach to study homogenisation of a large class of singular SPDEs of the form $$ \partial_t u_\varepsilon - \nabla\cdot {A}(x/\varepsilon,t/\varepsilon^2) \nabla…
Periodic space-time homogenisation of the equation
Martin Hairer, Harprit Singh
We consider the homogenisation problem for the equation on the torus , namely the behaviour as of the solutions to the equation suggestive…
Regularity Structures on Manifolds and Vector Bundles
Martin Hairer, Harprit Singh
We develop a generalisation of the original theory of regularity structures, [Hai14], which is able to treat SPDEs on manifolds with values in vector bundles. Assume is a Riema…
Strong convergence of parabolic rate of discretisations of stochastic Allen-Cahn-type equations
Máté Gerencsér, Harprit Singh
Consider the approximation of stochastic Allen-Cahn-type equations (i.e. -dimensional space-time white noise-driven stochastic PDEs with polynomial nonlinearities such tha…