Non-intersecting, simple, symmetric \- random walks and the extended Hahn kernel
[Marches aléatoires simples, symétriques et qui ne s'intersectent pas et le noyau de Hahn étendu]
Johansson, Kurt1
1 Royal Institute of Technology, department of mathematics, 100 44 Stockholm (Suède)
Annales de l'Institut Fourier, Tome 55 (2005) no. 6, pp. 2129-2145.

Nous montrons en utilisant des chemins qui ne s'intersectent pas qu'un pavage rhombique d'un hexagone, ou une partition planaire en boîtes, est décrit par un point processus ponctuel déterminentiel, donné par un noyau de Hahn étendu.

We show using non-intersecting paths, that a random rhombus tiling of a hexagon, or a boxed planar partition, is described by a determinantal point process given by an extended Hahn kernel.

DOI : 10.5802/aif.2155
Classification : 60K35, 15A32
Keywords: Non-intersecting paths, Dysons's Brownian motion, planar partitions, random tiling, determintal process
Mot clés : chemins qui ne s'intersectent pas, mouvement brownien de Dyson, partitions planaires, pavages aléatoires, processus déterminentiels
Johansson, Kurt 1

1 Royal Institute of Technology, department of mathematics, 100 44 Stockholm (Suède) 
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Johansson, Kurt. Non-intersecting, simple, symmetric \- random walks and the extended Hahn kernel. Annales de l'Institut Fourier, Tome 55 (2005) no. 6, pp. 2129-2145. doi : 10.5802/aif.2155. https://www.numdam.org/articles/10.5802/aif.2155/

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