A note on univoque self-Sturmian numbers
| dc.creator | Allouche, Jean-Paul | |
| dc.date | 2006-12-28 | |
| dc.date.accessioned | 2026-07-07T12:08:22Z | |
| dc.date.available | 2026-07-07T12:08:22Z | |
| dc.description | We compare two sets of (infinite) binary sequences whose suffixes satisfy extremal conditions: one occurs when studying iterations of a unimodal continuous map from the unit interval into itself, but it also characterizes univoque real numbers; the other is an equivalent definition of characteristic Sturmian sequences. As a corollary to our study we obtain that a real number $β$ in $(1,2)$ is univoque and self-Sturmian if and only if the $β$-expansion of 1 is of the form $1v$, where $v$ is a characteristic Sturmian sequence beginning itself in 1. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/math/0612816 | |
| dc.identifier | http://arxiv.org/abs/math/0612816 | |
| dc.identifier | RAIRO Info. Théor. Appl. 42 (2008) 659-662 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209297 | |
| dc.subject | Number Theory | |
| dc.subject | Combinatorics | |
| dc.subject | 11A63; 68R15 | |
| dc.title | A note on univoque self-Sturmian numbers | |
| dc.type | text |