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arXiv · 1810.04692

Probability distributions related to tilings of non-convex Polygons

Mark Adler·Pierre van Moerbeke
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Abstract

This paper is based on the study of random lozenge tilings of non-convex polygonal regions with interacting non-convexities (cuts) and the corresponding asymptotic kernel as in [3] and [4] (discrete tacnode kernel). Here this kernel is used to find the probability distributions and joint probability distributions for the fluctuation of tiles along lines in between the cuts. These distributions are new.

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Mark Adler, Pierre van Moerbeke. 2018-10-10. Probability distributions related to tilings of non-convex Polygons. https://doi.org/10.1063/1.5049574

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