Publication : t09/050

A Matrix model for plane partitions

Eynard B. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Abstract:
We construct a matrix model equivalent (exactly, not asymptotically), to the random plane partition model, with almost arbitrary boundary conditions. Equivalently, it is also a random matrix model for a (T)ASEP with arbitrary boundary conditions. Using the known solution of matrix models, this method allows to find the large size asymptotic expansion of plane partitions, to ALL orders. It also allows to describe several universal regimes.
Année de publication : 2009
Revue : J. Stat. Mech. P10011 (2009)
DOI : 10.1088/1742-5468/2009/10/P10011
Preprint : arXiv:0905.0535
Langue : Anglais

Fichier(s) à télécharger :
  • 1742-5468_2009_10_P10011.pdf
  • publi.pdf

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