Words without Near-Repetitions
Currie, J., and A. Bendor-Samuel. "Words without Near-Repetitions." Canadian Mathematical Bulletin 35(2) (1 June 1992): 161-166. DOI: 10.4153/CMB-1992-023-6.
We find an infinite word w on four symbols with the following property: Two occurrences of any block in w must be separated by more than the length of the block. That is, in any subword of w of the form xyx, the length of y is greater than the length of x. This answers a question of C. Edmunds connected to the Burnside problem for groups.