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math.AP2025
Stochastic Hartree NLS in 3d coming from a Many-Body Quantum System with White Noise Potential
Francesco Carlo De Vecchi, Xiaohao Ji, Immanuel Zachhuber
In this paper, we consider the defocusing Hartree NLS with white noise external potential on T^3 i.e. the Hartree NLS whose linear part is given by the Anderson Hamiltonian. A Stri…
math.PR2025
Weak Error of Dean-Kawasaki Equation with Smooth Mean-Field Interactions
Ana Djurdjevac, Xiaohao Ji, Nicolas Perkowski
We consider the weak-error rate of the SPDE approximation by regularized Dean-Kawasaki equation with Itô noise for particle systems with mean-field interactions both on the drift a…