Asymptotics of the major index of a random standard tableau
Probability
2022-10-25 v1
Abstract
In this article, we establish the mod- convergence of the major index of a uniform random standard tableau whose shape converges in the Thoma simplex. This implies various probabilistic estimates, in particular speed of convergence estimates of Berry--Esseen type, and strong large deviation principles.
Keywords
Cite
@article{arxiv.2210.13022,
title = {Asymptotics of the major index of a random standard tableau},
author = {Pierre-Loïc Méliot and Ashkan Nikeghbali},
journal= {arXiv preprint arXiv:2210.13022},
year = {2022}
}
Comments
37 pages, 9 figures