Spectral averaging techniques for Jacobi matrices
Mathematical Physics
2016-10-28 v1 math.MP
Abstract
Spectral averaging techniques for one-dimensional discrete Schroedinger operators are revisited and extended. In particular, simultaneous averaging over several parameters is discussed. Special focus is put on proving lower bounds on the density of the averaged spectral measures. These Wegner type estimates are used to analyze stability properties for the spectral types of Jacobi matrices under local perturbations.
Keywords
Cite
@article{arxiv.0802.2913,
title = {Spectral averaging techniques for Jacobi matrices},
author = {Rafael del Rio and Carmen Martinez and Hermann Schulz-Baldes},
journal= {arXiv preprint arXiv:0802.2913},
year = {2016}
}