Limiting distributions for a polynuclear growth model with external sources

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dc.creatorBaik, Jinho
dc.creatorRains, Eric
dc.date2000-03-22
dc.date.accessioned2026-07-07T04:34:23Z
dc.date.available2026-07-07T04:34:23Z
dc.descriptionThe purpose of this paper is to investigate the limiting distribution functions for a polynuclear growth model with two external sources, which was considered by Prähofer and Spohn. Depending on the strength of the sources, the limiting distribution functions are either the Tracy-Widom functions of random matrix theory, or a new explicit function which has the special property that its mean is zero. Moreover, we obtain transition functions between pairs of the above distribution functions in suitably scaled limits. There are also similar results for a discrete totally asymmetric exclusion process.
dc.description15 pages, 1 figure, LaTex
dc.identifierhttps://arxiv.org/abs/math/0003130
dc.identifierhttp://arxiv.org/abs/math/0003130
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58882
dc.subjectProbability
dc.subjectMathematical Physics
dc.subjectCombinatorics
dc.titleLimiting distributions for a polynuclear growth model with external sources
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