Probabilistic Weyl laws for quantized tori
Spectral Theory
2015-05-14 v2
Abstract
For the Toeplitz quantization of complex-valued functions on a -dimensional torus we prove that the expected number of eigenvalues of small random perturbations of a quantized observable satisfies a natural Weyl law. In numerical experiments the same Weyl law also holds for ``false'' eigenvalues created by pseudospectral effects.
Cite
@article{arxiv.0909.2014,
title = {Probabilistic Weyl laws for quantized tori},
author = {T. J. Christiansen and M. Zworski},
journal= {arXiv preprint arXiv:0909.2014},
year = {2015}
}
Comments
33 pages, 3 figures, v2 corrected listed title