Dejean's conjecture and letter frequency
LIF, CNRS, Université de Provence, CMI, 39 rue Joliot-Curie, 13453 Marseille, France;
2 LRI, CNRS, Université Paris-Sud 11, Bât 490, 91405 Orsay Cedex, France; firstname.lastname@example.org
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
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