Probabilistic Weyl laws for quantized tori

Autor:	Christiansen, T. J., Zworski, M.
Rok vydání:	2009
Předmět:	Mathematics - Spectral Theory 15A18 35S05 47A10 15B52
Druh dokumentu:	Working Paper
DOI:	10.1007/s00220-010-1047-2
Popis:	For the Toeplitz quantization of complex-valued functions on a $2n$-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. Comment: 33 pages, 3 figures, v2 corrected listed title
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0909.2014 Zobrazit plný text záznamu View this record from Arxiv