Painlevé V and the distribution function of discontinuous linear statistics in the Laguerre Unitary Ensembles

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dc.creatorBasor, Estelle
dc.creatorChen, Yang
dc.date2008-07-29
dc.date2008-11-04
dc.date.accessioned2026-07-07T10:15:07Z
dc.date.available2026-07-07T10:15:07Z
dc.descriptionIn this paper we study the characteristic or generating function of a certain discontinuous linear statistics of the Laguerre unitary ensembles and show that this is a particular fifth Painléve transcendant in the variable $t,$ the position of the discontinuity. The proof of the ladder operators adapted to orthogonal polynomial with discontinuous weight announced sometime ago is presented here, followed by the non-linear difference equations satisfied by two auxiliary quantities and the derivation of the Painléve equation.
dc.identifierhttps://arxiv.org/abs/0807.4758
dc.identifierhttp://arxiv.org/abs/0807.4758
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173080
dc.subjectMathematical Physics
dc.subject42C05; 82B
dc.titlePainlevé V and the distribution function of discontinuous linear statistics in the Laguerre Unitary Ensembles
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