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Resonant averaging for small-amplitude solutions of stochastic nonlinear Schrödinger equations
We consider the free linear Schrödinger equation on a torus 𝕋 d , perturbed by a Hamiltonian nonlinearity, driven by a random force and subject to a linear damping: Here u = u ( t, x ), x ∈ 𝕋 d , 0 < ν ≪ 1, q ∗ ∈ …