Random skew plane partitions and the Pearcey process
组合数学
2007-05-23 v2 数学物理
math.MP
摘要
We study random skew 3D partitions weighted by and, specifically, the 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.
引用
@article{arxiv.math/0503508,
title = {Random skew plane partitions and the Pearcey process},
author = {Andrei Okounkov and Nicolai Reshetikhin},
journal= {arXiv preprint arXiv:math/0503508},
year = {2007}
}