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تسجيل مستخدم جديدSpectrum of a Feinberg-Zee Random Hopping Matrix
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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.
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In this paper we study the spectrum $Sigma$ of the infinite Feinberg-Zee random hopping matrix, a tridiagonal matrix with zeros on the main diagonal and random $pm 1$s on the first sub- and super-diagonals; the study of this non-selfadjoint random ma
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