Limit law of the standard right factor of a random Lyndon word
| dc.creator | Marchand, Regine | |
| dc.creator | Azad, Elahe Zohoorian | |
| dc.date | 2004-07-01 | |
| dc.date.accessioned | 2026-07-07T05:09:53Z | |
| dc.date.available | 2026-07-07T05:09:53Z | |
| dc.description | Consider the set of finite words on a totally ordered alphabet with $q$ letters. We prove that the distribution of the length of the standard right factor of a random Lyndon word with length $n$, divided by $n$, converges to: $$μ(dx)=\frac1q δ_{1}(dx) + \frac{q-1}q \mathbf{1}_{[0,1)}(x)dx,$$ when $n$ goes to infinity. The convergence of all moments follows. This paper completes thus the results of \cite{Bassino}, giving the asymptotics of the mean length of the standard right factor of a random Lyndon word with length $n$ in the case of a two letters alphabet. | |
| dc.identifier | https://arxiv.org/abs/math/0407016 | |
| dc.identifier | http://arxiv.org/abs/math/0407016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/71752 | |
| dc.subject | Probability | |
| dc.title | Limit law of the standard right factor of a random Lyndon word | |
| dc.type | text |