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Spectral approximation of banded Laurent matrices with localized random perturbations

Abstract:

This paper explores the relationship between the spectra of perturbed infinite banded Laurent matrices $L(a)+K$ and their approximations by perturbed circulant matrices $C_{n}(a)+P_{n}KP_{n}$ for large $n$. The entries $K_{jk}$ of the perturbation matrices assume values in prescribed sets $\Omega_{jk}$ at the sites $(j,k)$ of a fixed set $E$, and are zero at the sites $(j,k)$ outside $E$. With ${\cal K}_{\Omega}^{E}$ denoting the ensemble of these perturbation matrices, it is shown that $\di...

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Unspecified
Publication date:
2001-02-01
UUID:
uuid:3f66d61c-56cd-4e7b-85f5-875a80a489d3
Local pid:
oai:eprints.maths.ox.ac.uk:1250
Deposit date:
2011-05-31

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