A central limit theorem for the two-sided descent statistic on Coxeter groups (Q2073289)
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scientific article; zbMATH DE number 7467794
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A central limit theorem for the two-sided descent statistic on Coxeter groups |
scientific article; zbMATH DE number 7467794 |
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A central limit theorem for the two-sided descent statistic on Coxeter groups (English)
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1 February 2022
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Summary: We study the asymptotic behaviour of the statistic \((\operatorname{des}+\operatorname{ides})_W\) which assigns to an element \(w\) of a finite Coxeter group \(W\) the number of descents of \(w\) plus the number of descents of \(w^{-1} \). Our main result is a central limit theorem for the probability distributions associated to this statistic. This answers a question of Kahle-Stump and builds upon work of Chatterjee-Diaconis, Özdemir and Röttger.
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