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math.AP2024
Periodic nonlinear Schrödinger equation with distributional potential and invariant measures
Arnaud Debussche, Antoine Mouzard
In this paper, we continue some investigations on the periodic NLSE started by Lebowitz, Rose and Speer and by Bourgain with the addition of a distributional multiplicative potenti…
math.AP2024
Anderson stochastic quantization equation
Hugo Eulry, Antoine Mouzard, Tristan Robert
We study the parabolic defocusing stochastic quantization equation with both mutliplicative spatial white noise and an independant space-time white noise forcing, on compact surfac…