Painlevé expressions for LOE, LSE and interpolating ensembles

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dc.creatorBaik, Jinho
dc.date2002-05-06
dc.date.accessioned2026-07-07T05:34:05Z
dc.date.available2026-07-07T05:34:05Z
dc.descriptionWe consider an ensemble which interpolates the Laguerre orthogonal ensemble and the Laguerre symplectic ensemble. This interpolating ensemble was introduced earlier by the author and Rains in connection with a last passage percolation model with a symmetry condition. In this paper, we obtain a Painelevé V expression for the distribution of the rightmost particle of the interpolating ensemble. Special cases of this result yield the Painlevé V expressions for the largest eigenvalues of Laguerre orthogonal ensemble and Laguerre symplectic ensemble of finite size.
dc.descriptionLaTex, 41 pages, 2 Figures
dc.identifierhttps://arxiv.org/abs/nlin/0205010
dc.identifierhttp://arxiv.org/abs/nlin/0205010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80230
dc.subjectExactly Solvable and Integrable Systems
dc.subjectProbability
dc.titlePainlevé expressions for LOE, LSE and interpolating ensembles
dc.typetext

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