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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.PR2024
Anomalous Regularization in Kazantsev-Kraichnan Model
Marco Bagnara, Francesco Grotto, Mario Maurelli
This work investigates a passive vector field which is transported and stretched by a divergence-free Gaussian velocity field, delta-correlated in time and poorly correlated in spa…
math.PR2024
Global well posedness and ergodic results in regular Sobolev spaces for the nonlinear Schrödinger equation with multiplicative noise and arbitrary power of the nonlinearity
Zdzisław Brzeźniak, Benedetta Ferrario, Mario Maurelli +1
We consider the nonlinear Schrödinger equation on the -dimensional torus , with the nonlinearity of polynomial type . For any and $s>\fr…