| dc.contributor.author | Currie, James D. | |
| dc.contributor.author | Saari, Kalle | |
| dc.date.accessioned | 2018-03-01T20:23:49Z | |
| dc.date.available | 2018-03-01T20:23:49Z | |
| dc.date.issued | 2009 | |
| dc.identifier.citation | Currie, James D., and Kalle Saari. "Least Periods of Factors of Infinite Words." RAIRO: Informatique Théorique et Applications / RAIRO: Theoretical Informatics and Applications 43(1) (2009): 165-178. DOI: 10.1051/ita:2008006. | en_US |
| dc.identifier.issn | 0988-3754 | |
| dc.identifier.uri | http://hdl.handle.net/10680/1372 | |
| dc.description.abstract | We show that any positive integer is the least period of a factor of the Thue-Morse word. We also characterize the set of least periods of factors of a Sturmian word. In particular, the corresponding set for the Fibonacci word is the set of Fibonacci numbers. As a byproduct of our results, we give several new proofs and tightenings of well-known properties of Sturmian words. | en_US |
| dc.description.sponsorship | Work of the first author supported by a Discovery Grant from NSERC. Work of the second author supported by the Finnish Academy under grant 8206039. | en_US |
| dc.description.uri | https://www.rairo-ita.org/articles/ita/abs/2009/01/ita08003/ita08003.html | |
| dc.language.iso | en | en_US |
| dc.publisher | EDP Sciences | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Periodicity | en_US |
| dc.subject | Fibonacci word | en_US |
| dc.subject | Thue-Morse word | en_US |
| dc.subject | Sturmian word | en_US |
| dc.title | Least Periods of Factors of Infinite Words | en_US |
| dc.type | Article | en_US |
| dc.identifier.doi | 10.1051/ita:2008006 | |
