arXiv:1908.07955 Abstract | arXiv Analytics

arXiv:1908.07955 [math.CO]Abstract References Reviews Resources

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

Published 2019-08-21Version 1

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, \"Ozdemir and R\"ottger.

Comments: 20 pages incl. appendix

Categories: math.CO, math.GR, math.PR

Subjects: 20F55, 05A15, 05A16, 60F05

Keywords: central limit theorem, two-sided descent statistic, finite coxeter group, main result, generalises work

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