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Smooth spectral statistics of random perturbations of Schrödinger operators near Anosov energy levels
We investigate the spectral statistics of random perturbations of semiclassical Schrödinger operators on compact manifolds, near energy levels corresponding to chaotic classical dynamics. The prototypical example is that of an operator $h^2Δ+V(x)$ that is perturbed by a smooth potential $h^αV_ω$ wit
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