Central limit theorems for Coxeter systems and Artin systems of extra large type
| dc.creator | Fendler, gero | |
| dc.date | 2003-11-06 | |
| dc.date.accessioned | 2026-07-07T05:02:39Z | |
| dc.date.available | 2026-07-07T05:02:39Z | |
| dc.description | 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, $1\leq q \leq 1$, almost surely. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311076 | |
| dc.identifier | http://arxiv.org/abs/math/0311076 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69092 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L53 | |
| dc.title | Central limit theorems for Coxeter systems and Artin systems of extra large type | |
| dc.type | text |