Probability distributions related to tilings of non-convex Polygons
Mathematical Physics
2018-10-17 v1 math.MP
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.
Keywords
Cite
@article{arxiv.1810.04692,
title = {Probability distributions related to tilings of non-convex Polygons},
author = {Mark Adler and Pierre van Moerbeke},
journal= {arXiv preprint arXiv:1810.04692},
year = {2018}
}
Comments
32 pages, 4 figures