A Matrix model for plane partitions
Mathematical Physics
2009-11-13 v3 High Energy Physics - Theory
math.MP
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 TASEP-like process 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.
Cite
@article{arxiv.0905.0535,
title = {A Matrix model for plane partitions},
author = {Bertrand Eynard},
journal= {arXiv preprint arXiv:0905.0535},
year = {2009}
}
Comments
Latex, 41 figures. Misprints and corrections. Changing the term TASEP to self avoiding particle porcess