Spectrum of a Feinberg-Zee Random Hopping Matrix
Spectral Theory
2015-09-11 v2 Mathematical Physics
math.MP
Abstract
This paper provides a new proof of a theorem of Chandler-Wilde, Chonchaiya and Lindner that the spectra of a certain class of infinite, random, tridiagonal matrices contain the unit disc almost surely. It also obtains an analogous result for a more general class of random matrices whose spectra contain a hole around the origin. The presence of the hole forces substantial changes to the analysis.
Cite
@article{arxiv.1110.0792,
title = {Spectrum of a Feinberg-Zee Random Hopping Matrix},
author = {Simon N Chandler-Wilde and E Brian Davies},
journal= {arXiv preprint arXiv:1110.0792},
year = {2015}
}