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arXiv · 1908.07955

A central limit theorem for the two-sided descent statistic on Coxeter groups

Benjamin Brück·Frank Röttger
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Abstract

We study the asymptotic behaviour of the statistic (des+ides) which assigns to an element w of a finite Coxeter group W the number of descents of w plus the number of descents of its inverse. Our main result is a central limit theorem for the probability distributions associated to this statistic. This answers a question of Kahle-Stump and generalises work of Chatterjee-Diaconis, Özdemir and Röttger.

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Benjamin Brück, Frank Röttger. 2022-02-03. A central limit theorem for the two-sided descent statistic on Coxeter groups. https://doi.org/10.37236/10744

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