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.
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
@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}, pages = {2129--2145}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {55}, number = {6}, year = {2005}, doi = {10.5802/aif.2155}, mrnumber = {2187949}, zbl = {1083.60079}, language = {en}, url = {http://www.numdam.org/articles/10.5802/aif.2155/} }
TY - JOUR AU - Johansson, Kurt TI - Non-intersecting, simple, symmetric \- random walks and the extended Hahn kernel JO - Annales de l'Institut Fourier PY - 2005 SP - 2129 EP - 2145 VL - 55 IS - 6 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2155/ DO - 10.5802/aif.2155 LA - en ID - AIF_2005__55_6_2129_0 ER -
%0 Journal Article %A Johansson, Kurt %T Non-intersecting, simple, symmetric \- random walks and the extended Hahn kernel %J Annales de l'Institut Fourier %D 2005 %P 2129-2145 %V 55 %N 6 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2155/ %R 10.5802/aif.2155 %G en %F 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/articles/10.5802/aif.2155/
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