A semiclassical Weyl law for quantized operators on the torus perturbed by random potentials

In this talk, I discuss the spectral properties of Weyl quantizations of complex-valued symbols on the torus subject to small perturbations given by random potentials. In the semiclassical regime, I show that the eigenvalues of the perturbed operators satisfy a Weyl law with probability tending to one. This extends similar results for non-self-adjoint operators under random perturbations.