Blondin-Mass\'e, Alexandre, Srečko Brlek, Amy Glen, Labb\'e, S\'ebastien
Abstract
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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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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.
Key concepts: Infimum and supremum, Exponent, Morse code, Mathematics, Critical exponent, Set (abstract data type), Pure mathematics, Discrete mathematics