Non-intersecting paths and Hahn orthogonal polynomial ensemble
Probability
2011-08-19 v1 Mathematical Physics
Combinatorics
math.MP
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.
Keywords
Cite
@article{arxiv.0708.2349,
title = {Non-intersecting paths and Hahn orthogonal polynomial ensemble},
author = {Vadim Gorin},
journal= {arXiv preprint arXiv:0708.2349},
year = {2011}
}
Comments
25 pages, 5 figures