Random Young diagrams in a Rectangular Box
Probability
2010-12-15 v2 Combinatorics
Abstract
We exhibit the limit shape of random Young diagrams having a distribution proportional to the exponential of their area, and confined in a rectangular box. The Ornstein-Uhlenbeck bridge arises from the fluctuations around the limit shape.
Cite
@article{arxiv.1008.0846,
title = {Random Young diagrams in a Rectangular Box},
author = {Dan Beltoft and Cédric Boutillier and Nathanaël Enriquez},
journal= {arXiv preprint arXiv:1008.0846},
year = {2010}
}
Comments
27 pages