Non-intersecting paths and Hahn orthogonal polynomial ensemble

Details Non-intersecting paths and Hahn orthogonal polynomial ensemble Non-intersecting paths and Hahn orthogonal polynomial ensemble

2007-08-17

arxiv.org/abs/0708.2349v1

Funct. Anal. Appl., 42 (2008), no. 3 , 180-197

Mathematics

Probability

25 pages, 5 figures

Scientific paper

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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