1 citations · 1 across the 9 of their papers we have counts for
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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…
Quasi-Gaussianity of the 2D stochastic Navier-Stokes equations
James Coe, Martin Hairer, Leonardo Tolomeo
We study the qualitative properties of solutions to the 2D stochastic Navier-Stokes equations with forcing that is white in time and coloured in space. Our main result shows that t…
Ergodicity of infinite volume at high temperature
Paweł Duch, Martin Hairer, Jaeyun Yi +1
We consider the infinite volume dynamic and show that it is globally well-posed in a suitable weighted Besov space of distributions. At high temperatures / small coupling,…
A Stochastic RAGE Theorem and Enhanced Dissipation for Transport Noise
Michele Coti Zelati, Martin Hairer, David Villringer
We prove a stochastic version of the classical RAGE theorem that applies to the two-point motion generated by noisy transport equations. As a consequence, we identify a necessary a…