BALANCE PROPERTIES OF ARNOUX-RAUZY WORDS

Valérie Berthé, Julien Cassaigne, Wolfgang Steiner · 2012

Abstract. The paper deals with balances and imbalances in Arnoux-Rauzy words. We provide sufficient conditions for C-balancedness, but our results indicate that even a characterization of 2-balanced Arnoux-Rauzy words on a 3-letter alphabet is not immediate. 1.

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