An asymptotic link between LUE and GUE and its spectral interpretation

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dc.creatorDoumerc, Yan
dc.date2002-04-13
dc.date.accessioned2026-07-07T04:47:41Z
dc.date.available2026-07-07T04:47:41Z
dc.descriptionWe use a matrix central-limit theorem which makes the Gaussian Unitary Ensemble appear as a limit of the Laguerre Unitary Ensemble together with an observation due to Johansson in order to derive new representations for the eigenvalues of GUE. For instance, it is possible to recover the celebrated equality in distribution between the maximal eigenvalue of GUE and a last-passage time in some directed brownian percolation. Similar identities for the other eigenvalues of GUE also appear.
dc.description15 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0204175
dc.identifierhttp://arxiv.org/abs/math/0204175
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63809
dc.subjectProbability
dc.titleAn asymptotic link between LUE and GUE and its spectral interpretation
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