CENTRAL LIMIT THEOREMS FOR COXETER SYSTEMS AND ARTIN SYSTEMS OF EXTRA LARGE TYPE

DOI10.1142/S0219025703001390zbMath1077.46057arXivmath/0311076OpenAlexW2007221272MaRDI QIDQ4467380

Gero Fendler

Publication date: 9 June 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311076

zbMATH Keywords

Coxeter groupArtin groupnon-commutative central limit theorem\(q\)-deformed central limit theoremsemicirle law

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)

Related Items (2)

LIMIT THEOREMS IN Λ-BOOLEAN PROBABILITY ⋮ Asymptotic spectral analysis of growing regular graphs

Cites Work

• An example of a generalized Brownian motion
• A non-commutative central limit theorem
• Artin groups and infinite Coxeter groups
• Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
• Structure of geodesics in the Cayley graph of infinite Coxeter groups

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