2 papers
math.PR2025
A critical stochastic heat equation with long-range noise
Alexander Dunlap, Martin Hairer, Xue-Mei Li
We consider a semilinear stochastic heat equation in spatial dimension at least , forced by a noise that is white in time with a covariance kernel that decays like $\lvert x\rve…
math.PR2024
Scaling limit of the KPZ equation with non-integrable spatial correlations
Luca Gerolla, Martin Hairer, Xue-Mei Li
We study the large scale fluctuations of the KPZ equation in dimensions driven by Gaussian noise that is white in time Gaussian but features non-integrable spatial corre…