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math.AP2021★ 10 cited
Strichartz inequalities with white noise potential on compact surfaces
Antoine Mouzard, Immanuel Zachhuber
We prove Strichatz inequalities for the Schr{ö}dinger equation and the wave equation with multiplicative noise on a two-dimensional manifold. This relies on the Anderson Hamiltonia…
math-ph2021
2D random magnetic Laplacian with white noise magnetic field
Léo Morin, Antoine Mouzard
We define the random magnetic Laplacien with spatial white noise as magnetic field on the two-dimensional torus using paracontrolled calculus. It yields a random self-adjoint opera…