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math.AP2025
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…
math.AP2025
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…