On the critical exponent of generalized Thue-Morse words

Details On the critical exponent of generalized Thue-Morse words On the critical exponent of generalized Thue-Morse words

2007-10-22

arxiv.org/abs/0710.4031v1

Discrete Mathematics and Theoretical Computer Science 9 (2007) 293-304

Mathematics

Combinatorics

13 pages; to appear in Discrete Mathematics and Theoretical Computer Science (accepted October 15, 2007)

Scientific paper

For certain generalized Thue-Morse words t, we compute the "critical
exponent", i.e., the supremum of the set of rational numbers that are exponents
of powers in t, and determine exactly the occurrences of powers realizing it.

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