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math.PR2026
Nonlinear Schrödinger equations with spatial white noise potential on full space for
Antoine Mouzard, Immanuel Zachhuber
In this paper, we prove existence and uniqueness of energy solutions for nonlinear Schrödinger equations with a multiplicative white noise on with . We rely on an expo…
math.PR2023
Invariant Gibbs measure for Anderson nonlinear wave equation
Nikolay Barashkov, Francesco C. De Vecchi, Immanuel Zachhuber
We study the Gaussian measure whose covariance is related to the Anderson Hamiltonian operator, proving that it admits a regular coupling to the (standard) Gaussian free field expl…