%0 Journal Article
%T Balance properties of Arnoux-Rauzy words
%+ Laboratoire d'informatique Algorithmique : Fondements et Applications (LIAFA)
%+ Institut de mathématiques de Luminy (IML)
%A Berthé, Valérie
%A Cassaigne, Julien
%A Steiner, Wolfgang
%< avec comité de lecture
%@ 0218-1967
%J International Journal of Algebra and Computation
%I World Scientific Publishing
%V 23
%N 4
%P 689-704
%8 2013-06
%D 2013
%Z 1212.5106
%R 10.1142/S0218196713400043
%K infinite words
%K Arnoux-Rauzy words
%K balance properties
%K S-adic sequences
%Z 68R15, 37B10
%Z Computer Science [cs]/Formal Languages and Automata Theory [cs.FL]
%Z Mathematics [math]/Combinatorics [math.CO]Journal articles
%X 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.
%G English
%2 https://hal.science/hal-00767967/document
%2 https://hal.science/hal-00767967/file/balanced.pdf
%L hal-00767967
%U https://hal.science/hal-00767967
%~ UNIV-PARIS7
%~ CNRS
%~ UNIV-AMU
%~ IML
%~ I2M
%~ UNIV-PARIS