Random skew plane partitions and the Pearcey process

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dc.creatorOkounkov, Andrei
dc.creatorReshetikhin, Nicolai
dc.date2005-03-23
dc.date2005-04-26
dc.date.accessioned2026-07-07T05:18:17Z
dc.date.available2026-07-07T05:18:17Z
dc.descriptionWe study random skew 3D partitions weighted by $q^{\textup{vol}}$ and, specifically, the $q\to 1$ asymptotics of local correlations near various points of the limit shape. We obtain sine-kernel asymptotics for correlations in the bulk of the disordered region, Airy kernel asymptotics near a general point of the frozen boundary, and a Pearcey kernel asymptotics near a cusp of the frozen boundary.
dc.identifierhttps://arxiv.org/abs/math/0503508
dc.identifierhttp://arxiv.org/abs/math/0503508
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74610
dc.subjectCombinatorics
dc.subjectMathematical Physics
dc.subject68R05; 82B05
dc.titleRandom skew plane partitions and the Pearcey process
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