Discrete Mathematics & Theoretical Computer Science, Vol 9, No 1 (2007)

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On the Critical Exponent of Generalized Thue-Morse Words

Alexandre Blondin-Massé, Srečko Brlek, Amy Glen, Sébastien Labbé


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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