A law of large numbers for finite-range dependent random matrices

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dc.creatorAnderson, Greg
dc.creatorZeitouni, Ofer
dc.date2006-09-13
dc.date2007-10-21
dc.date.accessioned2026-07-07T08:37:12Z
dc.date.available2026-07-07T08:37:12Z
dc.descriptionWe consider random hermitian matrices in which distant above-diagonal entries are independent but nearby entries may be correlated. We find the limit of the empirical distribution of eigenvalues by combinatorial methods. We also prove that the limit has algebraic Stieltjes transform by an argument based on dimension theory of noetherian local rings.
dc.description26 pages, LaTeX Revision includes additional results on consequences of algebracity of Stieltjes transform
dc.identifierhttps://arxiv.org/abs/math/0609364
dc.identifierhttp://arxiv.org/abs/math/0609364
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140318
dc.subjectProbability
dc.subject15A52
dc.titleA law of large numbers for finite-range dependent random matrices
dc.typetext

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