637 citations · 4.1k across the 101 of their papers we have counts for
87 papers · 1 filter
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 \;, \…
The work of Hugo Duminil-Copin
Martin Hairer
The past decade has seen tremendous progress in our understanding of the behaviour of many probabilistic models at or near their "critical point". On the 5th of July 2022, Hugo Dum…