Spectrum of a Feinberg-Zee random hopping matrix

Chandler-Wilde, S. ORCID: https://orcid.org/0000-0003-0578-1283 and Davies, E. B. (2012) Spectrum of a Feinberg-Zee random hopping matrix. Journal of Spectral Theory, 2 (2). pp. 147-179. ISSN 1664-0403 doi: 10.4171/JST/25

Abstract/Summary

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.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/27339
Identification Number/DOI	10.4171/JST/25
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	European Mathematical Society
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