On the central limit theorem for the two-sided descent statistics in Coxeter groups

DOI10.1214/20-ECP309zbMath1434.60041arXiv1911.10939MaRDI QIDQ2183130

Valentin Féray

Publication date: 26 May 2020

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10939

zbMATH Keywords

Coxeter groupsasymptotic normalityWasserstein distance

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Combinatorial probability (60C05) Combinatorial aspects of groups and algebras (05E16)

Related Items (3)

A central limit theorem for descents of a Mallows permutation and its inverse ⋮ A natural idempotent in the descent algebra of a finite Coxeter group ⋮ A central limit theorem for the two-sided descent statistic on Coxeter groups

Cites Work

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• A central limit theorem for a new statistic on permutations
• Asymptotics of a locally dependent statistic on finite reflection groups
• Combinatorics of Coxeter Groups
• The Complete Enumeration of Finite Groups of the Form Ri2=(RiRj)kij=1
• The numbers of ascending segments in a random permutation and in the inverse to it are asymptotically independent
• Counting inversions and descents of random elements in finite Coxeter groups
• On the field of combinatory analysis
• A Note on Asymptotic Joint Normality
• A Combinatorial Central Limit Theorem

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