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Spectra, pseudospectra, and localization for random bidiagonal matrices

Abstract:

There has been much recent interest, initiated by work of the physicists Hatano and Nelson, in the eigenvalues of certain random non-hermitian periodic tridiagonal matrices and their bidiagonal limits. These eigenvalues cluster along a "bubble with wings" in the complex plane, and the corresponding eigenvectors are localized in the wings, delocalized in the bubble. Here, in addition to eigenvalues, pseudospectra are analyzed, making it possible to treat the non-periodic analogues of these ran...

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Publisher:
Unspecified
Publication date:
2000-04-01
UUID:
uuid:d44b531f-e268-4bb7-927b-4ef0c19c03fc
Local pid:
oai:eprints.maths.ox.ac.uk:1274
Deposit date:
2011-06-01

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