Random skew plane partitions and the Pearcey process

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We 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.

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Combinatorics, Mathematical Physics, 68R05; 82B05

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http://salesiana.dossiersoluciones.com/handle/123456789/74610

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0503508
 http://arxiv.org/abs/math/0503508

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arXiv