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math.PR2023★ 3 cited
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…
math.PR2022★ 1 cited
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…