637 citations · 4.1k across the 101 of their papers we have counts for
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Spectral gap for projective processes of linear SPDEs
Martin Hairer, Tommaso Rosati
This work studies the angular component associated to the solution of a vector-valued linear hyperviscous SPDE on a -dimensional torus $$\m…
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…
A Dynamical Yukawa Model
Ajay Chandra, Martin Hairer, Martin Peev
We prove local (in space and time) well-posedness for a mildly regularised version of the stochastic quantisation of the Yukawa Euclidean field theory with a self-interacting…
Fluctuations of stochastic PDEs with long-range correlations
Luca Gerolla, Martin Hairer, Xue-Mei Li
We study the large-scale dynamics of the solution to a nonlinear stochastic heat equation (SHE) in dimensions with long-range dependence. This equation is driven by mult…
Global existence for perturbations of the 2D stochastic Navier-Stokes equations with space-time white noise
Martin Hairer, Tommaso Rosati
We prove global in time well-posedness for perturbations of the 2D stochastic Navier-Stokes equations \begin{equation*} \partial_t u + u \cdot \nabla u = Δu - \nabla p + ζ+ ξ \;, \…