On Critical exponents in fixed points ofk-uniform binary morphisms
Dalia Krieger · RAIRO - Theoretical Informatics and Applications · 2007
Let w be an infinite fixed point of a binary k-uniform morphism f, and let Ew be the critical exponent of w. We give necessary and sufficient conditions for Ew to be bounded, and an explicit formula to compute it when it is. In particular, we show that Ew is always rational. We also sketch an extension of our method to non-uniform morphisms over general alphabets.