Nonintersecting Paths and the Hahn Orthogonal Polynomial Ensemble

V. E. Gorin

Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 23-44.

Résumé

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.

Détail

Keywords: tiling of a hexagon, determinantal process
Mots-clés : plane partition, orthogonal polynomial ensemble.

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