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.
On extremal properties of the Fibonacci word
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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.