Sizes of Simultaneous Core Partitions
Combinatorics
2021-09-14 v2
Abstract
There is a well-studied correspondence by Jaclyn Anderson between partitions that avoid hooks of length s or t and certain binary strings of length s+t. Using this map, we prove that the total size of a random partition of this kind converges in law to Watson's U^2 distribution, as conjectured by Doron Zeilberger.
Keywords
Cite
@article{arxiv.2003.13671,
title = {Sizes of Simultaneous Core Partitions},
author = {Chaim Even-Zohar},
journal= {arXiv preprint arXiv:2003.13671},
year = {2021}
}