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.
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Research Article| September 27 2018
Probability distributions related to tilings of non-convex polygons
Special Collection: In Memory of Ludwig Faddeev
Mark Adler, Pierre van Moerbeke; Probability distributions related to tilings of non-convex polygons. J. Math. Phys. 1 September 2018; 59 (9): 091418. https://doi.org/10.1063/1.5049574
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