First colonization of a hard-edge in random matrix theory

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dc.creatorBertola, M.
dc.creatorLee, S. Y.
dc.date2008-04-07
dc.date.accessioned2026-07-07T09:30:52Z
dc.date.available2026-07-07T09:30:52Z
dc.descriptionWe describe the spectral statistics of the first finite number of eigenvalues in a newly-forming band on the hard-edge of the spectrum of a random Hermitean matrix model. It is found that in a suitable scaling regime, they are described by the same spectral statistics of a finite-size Laguerre-type matrix model. The method is rigorously based on the Riemann-Hilbert analysis of the corresponding orthogonal polynomials.
dc.description22 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0804.1111
dc.identifierhttp://arxiv.org/abs/0804.1111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158260
dc.subjectMathematical Physics
dc.titleFirst colonization of a hard-edge in random matrix theory
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