Correlation function of the Schur process with a fixed final partition

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dc.creatorImamura, T.
dc.creatorSasamoto, T.
dc.date2008-04-25
dc.date2008-05-08
dc.date.accessioned2026-07-07T09:40:06Z
dc.date.available2026-07-07T09:40:06Z
dc.descriptionWe consider a generalization of the Schur process in which a partition evolves from the empty partition into an arbitrary fixed final partition. We obtain a double integral representation of the correlation kernel. For a special final partition with only one row, the edge scaling limit is also discussed by the use of the saddle point analysis. If we appropriately scale the length of the row, the limiting correlation kernel changes from the extended Airy kernel.
dc.description28 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0804.4106
dc.identifierhttp://arxiv.org/abs/0804.4106
dc.identifierJ. Math. Phys. 49, 053302 (2008)
dc.identifierdoi:10.1063/1.2908157
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161380
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectExactly Solvable and Integrable Systems
dc.titleCorrelation function of the Schur process with a fixed final partition
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