Geodesic
Nonintersecting Paths and the Hahn Orthogonal Polynomial Ensemble
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 23-44

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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 can also be described by an ergodic Gibbs measure with appropriate parameters.
Keywords: tiling of a hexagon, determinantal process
Mots-clés : plane partition, orthogonal polynomial ensemble. 
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     author = {V. E. Gorin},
     title = {Nonintersecting {Paths} and the {Hahn} {Orthogonal} {Polynomial} {Ensemble}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {23--44},
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     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a2/}
}
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V. E. Gorin. Nonintersecting Paths and the Hahn Orthogonal Polynomial Ensemble. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 23-44. http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a2/