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We study a nonlinear Schrödinger equation with a linear damping, i.e. a zero-order dissipation, and an additive noise. Working in Rᵈ R d with d≤ 3 d ≤ 3 , we prove the uniqueness of the invariant measure when the damping coefficient is sufficiently large.
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Brzeźniak et al. (2023) studied this question.
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