On the critical exponent of generalized Thue-Morse words

Alexandre Blondin Massé, Srečko Brlek, Amy Glen, Sebastien Labbé · Discrete Mathematics & Theoretical Computer Science · 2007

Automata, Logic and Semantics 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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