The free boundary Schur process and applications (extended abstract)
Betea D. (
IRIF, CNRS et Université Paris Diderot, Case 7014, F-75205 Paris Cedex 13)
Bouttier J. (
CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Nejjar P. (
IST Austria, 3400 Klosterneuburg, Austria)
Vuletić V. (
Department of Mathematics, University of Massachusetts Boston, 100 William T. Morrissey Boulevard, Boston, MA 02125)
Abstract:
We study the Schur process with two free boundaries, a generalization of the original Schur process of Okounkov and Reshetikhin. We compute its correlation functions for arbitrary specializations and apply the result to the asymptotics of symmetric last passage percolation models, symmetric plane partitions and plane overpartitions.
Année de publication : 2017
Revue : Séminaire Lotharingien de Combinatoire
78B #44 (2017)
Conférence - Communication : 29th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2017) ;
Londres ; 2017-07-09 / 2017-07-13
Preprint :
arXiv:1704.05809v1 Lien :
http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2017/44%20Betea%20Bouttier%20Nejjar%20Vuletic.html Langue : Anglais
Fichier(s) à télécharger : publi.pdf