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.PR2025
McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data
Bryan Castillo, Alexander Dunlap
We study a large class of scaling-critical reaction-diffusion equations in two spatial dimensions, where the initial data is white noise mollified at scale and the…