Abstract
We provide a formula for the critical exponent and the asymptotic critical exponent of regular Arnoux-Rauzy sequences. Over the binary alphabet it coincides with a well-known formula for Sturmian sequences based on their S-adic representation. We show that among regular d-ary Arnoux-Rauzy sequences, the minimal (asymptotic) critical exponent is reached by the d-bonacci sequence.
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