On critical exponents in fixed points of -uniform binary morphisms
Dalia Krieger (2009)
RAIRO - Theoretical Informatics and Applications - Informatique Théorique et Applications
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Let be an infinite fixed point of a binary -uniform morphism , and let be the critical exponent of . We give necessary and sufficient conditions for to be bounded, and an explicit formula to compute it when it is. In particular, we show that is always rational. We also sketch an extension of our method to non-uniform morphisms over general alphabets.