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Spectrum of a Feinberg-Zee random hopping matrix

Chandler-Wilde, S. 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

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To link to this item 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
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:27339
Publisher:European Mathematical Society

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