2 papers
math.PR2025
Fluctuations of stochastic PDEs with long-range correlations
Luca Gerolla, Martin Hairer, Xue-Mei Li
We study the large-scale dynamics of the solution to a nonlinear stochastic heat equation (SHE) in dimensions with long-range dependence. This equation is driven by mult…
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…