Nonintersecting paths and the Hahn orthogonal polynomial ensemble

DOI10.1007/S10688-008-0027-1zbMATH Open1177.60012arXiv0708.2349OpenAlexW2963415950MaRDI QIDQ1002817

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Publication date: 26 February 2009

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Abstract: We compute the bulk limit of the correlation functions for the uniform measure on lozenge tilings of a hexagon. The limiting determinantal process is a translation invariant extension of the discrete sine process, which also describes the ergodic Gibbs measure of an appropriate slope.

Full work available at URL: https://arxiv.org/abs/0708.2349

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