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arXiv · 2407.09824

Central Limit Theorem on the Conjugacy Measure of Symmetric Groups

Yuhui Jin
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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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Yuhui Jin. 2024-07-13. Central Limit Theorem on the Conjugacy Measure of Symmetric Groups. https://arxiv.org/abs/2407.09824

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