Central Limit Theorem on the Conjugacy Measure of Symmetric Groups

2024/07/13 by Yuhui Jin, Jin, Yuhui
Mathematics · #05Exx #Advanced Algebra and Geometry #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Probability (math.PR) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2407.09824

openalex publication_date 2024/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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