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Paper detail

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

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.

preprint2022arXivOpen access
Benjamin BrückFrank Röttger
math.COmath.GRmath.PR
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Benjamin BrückFrank Röttger

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