Probability distributions related to things of non-convex polygons

被引：5
作者：
Adler, Mark [1 ]
van Moerbeke, Pierre [2 ,3 ]
机构：
[1] Brandeis Univ, Dept Math, Waltham, MA 02453 USA
[2] Catholic Univ Louvain, Dept Math, B-1348 Louvain La Neuve, Belgium
[3] Brandeis Univ, Waltham, MA 02453 USA
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 59卷 / 09期
关键词：
TILINGS;
D O I：
10.1063/1.5049574
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, we study random lozenge tilings of non-convex polygonal regions. The interaction of the non-convexities (cuts) leads to new kernels and thus new statistics for the tiling fluctuations near these regions. This paper gives new probability distributions and joint probability distributions for the fluctuation of tiles along lines in between the cuts. Published by AIP Publishing.
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收藏
页数：21
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