Balance properties of Arnoux-Rauzy words
  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. 
Val\'erie Berth\'e (LIAFA), Julien Cassaigne (IML), Wolfgang Steiner   (LIAFA)
cs.FL math.CO