Central Limit Theorem on the Conjugacy Measure of Symmetric Groups
Combinatorics
2024-07-16 v1 Probability
Abstract
Regarding the conjugacy representation on symmetric groups, we initiate a normalized measure emerging from this representation, namely the conjugacy measure. A central limit theorem for character ratios of random representations of the symmetric group on the conjugacy measure is obtained.
Keywords
Cite
@article{arxiv.2407.09824,
title = {Central Limit Theorem on the Conjugacy Measure of Symmetric Groups},
author = {Yuhui Jin},
journal= {arXiv preprint arXiv:2407.09824},
year = {2024}
}
Comments
8 pages