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arXiv · 0708.2349

Non-intersecting paths and Hahn orthogonal polynomial ensemble

Vadim Gorin
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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.

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Vadim Gorin. 2007-08-17. Non-intersecting paths and Hahn orthogonal polynomial ensemble. https://arxiv.org/abs/0708.2349

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