Spectrum of a Feinberg–Zee random hopping matrix
Simon N. Chandler-Wilde
University of Reading, UKE. Brian Davies
King's College London, UK
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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 this article
Simon N. Chandler-Wilde, E. Brian Davies, Spectrum of a Feinberg–Zee random hopping matrix. J. Spectr. Theory 2 (2012), no. 2, pp. 147–179
DOI 10.4171/JST/25