Fluctuation formula for complex random matrices

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dc.creatorForrester, P. J.
dc.date1998-05-24
dc.date.accessioned2026-07-07T03:10:38Z
dc.date.available2026-07-07T03:10:38Z
dc.descriptionA Gaussian fluctuation formula is proved for linear statistics of complex random matrices in the case that the statistic is rotationally invariant. For a general linear statistic without this symmetry, Coulomb gas theory is used to predict that the distribution will again be a Gaussian, with a specific mean and variance. The variance splits naturally into a bulk and surface contibution, the latter resulting from the long range correlations at the boundary of the support of the eigenvalue density.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/9805306
dc.identifierhttp://arxiv.org/abs/cond-mat/9805306
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/28294
dc.subjectStatistical Mechanics
dc.titleFluctuation formula for complex random matrices
dc.typetext

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