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

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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★ 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…