| Issue |
RAIRO-Theor. Inf. Appl.
Volume 42, Number 3, July-September 2008
JM'06
|
|
|---|---|---|
| Page(s) | 477 - 480 | |
| DOI | https://doi.org/10.1051/ita:2008013 | |
| Published online | 03 June 2008 | |
Dejean's conjecture and letter frequency
1
LIF, CNRS, Université de Provence, CMI, 39 rue Joliot-Curie, 13453 Marseille, France;
jeremie.chalopin@lif.univ-mrs.fr
2
LRI, CNRS,
Université Paris-Sud 11, Bât 490, 91405 Orsay Cedex, France;
ochem@lri.fr
We prove two cases of a strong version of Dejean's conjecture
involving extremal letter frequencies. The results are that there
exist an infinite 
-free word over a 5 letter
alphabet with letter frequency 
and an infinite
-free word over a 6 letter alphabet with
letter frequency 
.
Mathematics Subject Classification: 68R15
© EDP Sciences, 2008
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