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Discrete Mathematics & Theoretical Computer Science |
We study random lozenge tilings of a certain shape in the plane called the Novak half-hexagon, and compute the correlation functions for this process. This model was introduced by Nordenstam and Young (2011) and has many intriguing similarities with a more well-studied model, domino tilings of the Aztec diamond. The most difficult step in the present paper is to compute the inverse of the matrix whose (i,j)-entry is the binomial coefficient $C(A, B_j-i)$ for indeterminate variables $A$ and $B_1, \dots , B_n.$
Source : ScholeXplorer
IsRelatedTo ARXIV math/9810105 Source : ScholeXplorer IsRelatedTo DOI 10.1090/s0894-0347-99-00307-0 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.math/9810105
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