On the concentration of eigenvalues of random symmetric matrices

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dc.creatorKrivelevich, Michael
dc.creatorVu, Van H.
dc.date2000-09-21
dc.date.accessioned2026-07-07T04:28:01Z
dc.date.available2026-07-07T04:28:01Z
dc.descriptionWe prove that few largest (and most important) eigenvalues of random symmetric matrices of various kinds are very strongly concentrated. This strong concentration enables us to compute the means of these eigenvalues with high precision. Our approach uses Talagrand's inequality and is very different from standard approaches.
dc.identifierhttps://arxiv.org/abs/math-ph/0009032
dc.identifierhttp://arxiv.org/abs/math-ph/0009032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56635
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject15A52 (Primary), 60B**, 05C80 (Secondary)
dc.titleOn the concentration of eigenvalues of random symmetric matrices
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