The paper classifies which words become arbitrarily repetitive under injective morphisms and shows the asymptotic critical exponent of binary words cannot be raised by one or more.
Critical exponent of binary words with few distinct palindromes
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Mapped Exponent and Asymptotic Critical Exponent of Words
The paper classifies which words become arbitrarily repetitive under injective morphisms and shows the asymptotic critical exponent of binary words cannot be raised by one or more.