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.
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.
Classification: 60K35, 15A32
Keywords: Non-intersecting paths, Dysons's Brownian motion, planar partitions, random tiling, determintal process
@article{AIF_2005__55_6_2129_0,
author = {Johansson, Kurt},
title = {Non-intersecting, simple, symmetric \- random walks and the extended Hahn kernel},
journal = {Annales de l'Institut Fourier},
publisher = {Association des Annales de l'institut Fourier},
volume = {55},
number = {6},
year = {2005},
pages = {2129-2145},
doi = {10.5802/aif.2155},
zbl = {1083.60079},
mrnumber = {2187949},
language = {en},
url = {http://www.numdam.org/item/AIF_2005__55_6_2129_0}
}
Johansson, Kurt. Non-intersecting, simple, symmetric \- random walks and the extended Hahn kernel. Annales de l'Institut Fourier, Volume 55 (2005) no. 6, pp. 2129-2145. doi : 10.5802/aif.2155. http://www.numdam.org/item/AIF_2005__55_6_2129_0/
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