Title: Probabilistic Weyl laws for quantized tori
Speaker: Tanya Christiansen
Speaker Info: University of Missouri, Columbia
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Special Note:
Abstract:
We study operators obtained from the quantization of complex-valued functions on a $2n$-dimensional torus. We show that the expected number of eigenvalues of small random perturbations of these operators obeys a Weyl law, though the eigenvalues of the unperturbed operators may not. This is joint work with M. Zworski.Date: Monday, February 08, 2010