637 citations · 4.1k across the 101 of their papers we have counts for
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Hörmander's theorem for semilinear SPDEs
Andris Gerasimovics, Martin Hairer
We consider a broad class of semilinear SPDEs with multiplicative noise driven by a finite-dimensional Wiener process. We show that, provided that an infinite-dimensional analogue…
The dynamical sine-Gordon model in the full subcritical regime
Ajay Chandra, Martin Hairer, Hao Shen
We prove that the dynamical sine-Gordon equation on the two dimensional torus introduced in [HS16] is locally well-posed for the entire subcritical regime. At first glance this equ…
Renormalisation of parabolic stochastic PDEs
Martin Hairer
We give a survey of recent result regarding scaling limits of systems from statistical mechanics, as well as the universality of the behaviour of such systems in so-called cross-ov…
Large-scale limit of interface fluctuation models
Martin Hairer, Weijun Xu
We extend the weak universality of KPZ in [Hairer-Quastel] to weakly asymmetric interface models with general growth mechanisms beyond polynomials. A key new ingredient is a pointw…
Tightness of the Ising-Kac model on the two-dimensional torus
Martin Hairer, Massimo Iberti
We consider the sequence of Gibbs measures of Ising models with Kac interaction defined on a periodic two-dimensional discrete torus near criticality. Using the convergence of the…