most citedScaling limit of the KPZ equation with non-integrable spatial correlations

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2 papers

math.PR2024★ 1 cited

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…

math.PR2023

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…