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A simple explanation for the "shuffling phenomenon'' for lozenge tilings of dented hexagons (1912.00236v2)
Published 30 Nov 2019 in math.CO
Abstract: In a paper, Lai and Rohatgi proved a "shuffling theorem" for lozenge tilings of a hexagon with "dents" (i.e., missing triangles). Here, we shall point out that this follows immediately from the enumeration of Gelfand--Tsetlin patterns with given bottom row. This observation is also contained in a recent preprint of Byun.
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