Central limit theorems for Coxeter systems and Artin systems of extra large type
Functional Analysis
2007-05-23 v1
Abstract
Given a Coxeter system of large type we prove a non--commutative central limit theorem: After normalisation with the square root of n the characteristic function of the set of the first n generators tends in distribution to Wigners semi--circle law. If one chooses the group presentation at random, now admitting a certain amount of commutation among the generators, the distributional limit will be the q--deformed semi--circle law, , almost surely.
Cite
@article{arxiv.math/0311076,
title = {Central limit theorems for Coxeter systems and Artin systems of extra large type},
author = {gero Fendler},
journal= {arXiv preprint arXiv:math/0311076},
year = {2007}
}
Comments
12 pages