Dejean's conjecture and letter frequency
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 3, pp. 477-480.

We prove two cases of a strong version of Dejean’s conjecture involving extremal letter frequencies. The results are that there exist an infinite 5 4 + -free word over a 5 letter alphabet with letter frequency 1 6 and an infinite 6 5 + -free word over a 6 letter alphabet with letter frequency 1 5.

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     author = {Chalopin, J\'er\'emie and Ochem, Pascal},
     title = {Dejean's conjecture and letter frequency},
     journal = {RAIRO - Theoretical Informatics and Applications - Informatique Th\'eorique et Applications},
     pages = {477--480},
     publisher = {EDP-Sciences},
     volume = {42},
     number = {3},
     year = {2008},
     doi = {10.1051/ita:2008013},
     zbl = {1147.68612},
     mrnumber = {2434030},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/ita:2008013/}
}
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Chalopin, Jérémie; Ochem, Pascal. Dejean's conjecture and letter frequency. RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications, Tome 42 (2008) no. 3, pp. 477-480. doi : 10.1051/ita:2008013. http://www.numdam.org/articles/10.1051/ita:2008013/

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