J. Berstel and P. Séébold, Sturmian words, in: M. Lothaire, Algebraic Combinatorics on Words, pp.40-97, 2002.

J. A. Davis, R. C. Entringer, R. L. Graham, and G. J. Simmons, On permutations containing no long arithmetic progressions, Acta Arithmetica, pp.34-81, 1977.

S. Ferenczi, Complexity of sequences and dynamical systems, Discrete Mathematics, vol.206, issue.1-3, pp.145-154, 1999.
DOI : 10.1016/S0012-365X(98)00400-2