Stability of Spectral Types for Jacobi Matrices Under Decaying Random Perturbations
Spectral Theory
2007-05-23 v1
Abstract
We study stability of spectral types for semi-infinite self-adjoint tridiagonal matrices under random decaying perturbations. We show that absolutely continuous spectrum associated with bounded eigenfunctions is stable under Hilbert-Schmidt random perturbations. We also obtain some results for singular spectral types.
Cite
@article{arxiv.math/0701279,
title = {Stability of Spectral Types for Jacobi Matrices Under Decaying Random Perturbations},
author = {Jonathan Breuer and Yoram Last},
journal= {arXiv preprint arXiv:math/0701279},
year = {2007}
}