For each α>2 there is an infinite binary word with critical exponent α.
Currie, James D. ; Rampersad, Narad
The Electronic Journal of Combinatorics [electronic only], Tome 15 (2008), / Harvested from The Electronic Library of Mathematics
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Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:117202 
@article{05540896,
     title = {For each },
     journal = {The Electronic Journal of Combinatorics [electronic only]},
     volume = {15},
     year = {2008},
     zbl = {1183.68439},
     language = {en},
     url = {http://dml.mathdoc.fr/item/05540896}
}

Currie, James D.; Rampersad, Narad. For each . The Electronic Journal of Combinatorics [electronic only], Tome 15 (2008) . http://gdmltest.u-ga.fr/item/05540896/