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math.PR2025
Edwards-Wilkinson limit for a stochastic advection-diffusion PDE
Sotirios Kotitsas, Dejun Luo, Mario Maurelli
We consider a diffusion in a Gaussian random environment that is white in time and study the large-scale behavior of the quenched density with respect to the Lebesgue measure. We s…
math.PR2025
Eddy viscosity by Lévy transport noises
Dejun Luo, Feifan Teng
We consider stochastic 2D Euler equations with -initial vorticity and driven by Lévy transport noise in the Marcus sense. Under a suitable scaling limit of the noises, we pro…