On Spectral Norm of Large Band Random Matrices

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dc.creatorKhorunzhy, A.
dc.date2004-04-06
dc.date.accessioned2026-07-07T04:31:05Z
dc.date.available2026-07-07T04:31:05Z
dc.descriptionWe study the spectral norm of N-dimensional hermitian random matrices whose entries are zero outside of the band of the width b along the principal diagonal. Inside this band the elements are given by gaussian centered jointly independent random variables with the variance of the order 1/b. We show that if b tends to infinity faster than the third power of log N, then the spectral norm is bounded with probability 1.
dc.description20 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math-ph/0404017
dc.identifierhttp://arxiv.org/abs/math-ph/0404017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57695
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject15A52
dc.titleOn Spectral Norm of Large Band Random Matrices
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