J. Allouche, Algebraic and Analytic Randomness, Noise, Oscillators and algebraic randomness, pp.345-356, 2000.
DOI : 10.1007/3-540-45463-2_17

J. Allouche, J. L. Davison, M. Queffélec, and L. Q. Zamboni, Transcendence of Sturmian or Morphic Continued Fractions, Journal of Number Theory, vol.91, issue.1, pp.39-66, 2001.
DOI : 10.1006/jnth.2001.2669

V. Boyer and J. L. Bourdin, Fast Lines: a Span by Span Method, Eurographics 99, 1999.
DOI : 10.1111/1467-8659.00358

T. C. Brown, Descriptions of the characteristic sequence of an irrational, Bulletin canadien de math??matiques, vol.36, issue.1, pp.15-21, 1993.
DOI : 10.4153/CMB-1993-003-6

M. Dorigo, V. Maniezzo, and A. Colorni, Ant system: optimization by a colony of cooperating agents, IEEE Transactions on Systems, Man and Cybernetics, Part B (Cybernetics), vol.26, issue.1, pp.1-13, 1996.
DOI : 10.1109/3477.484436

P. Flajolet, Combinatorial aspects of continued fractions, Discrete Mathematics, vol.32, issue.3, pp.125-161, 1980.
DOI : 10.1016/0012-365X(80)90248-4

B. Gaujal and E. Hyon, Optimal routing policies in two deterministic queues. Réseaux et systèmes répartis -Calculateurs Parallèles, pp.601-633, 2001.

B. Gaujal and E. Hyon, Optimal routing policies in deterministic queues in tandem, Sixth International Workshop on Discrete Event Systems, 2002. Proceedings., pp.251-257, 2002.
DOI : 10.1109/WODES.2002.1167696

URL : https://hal.archives-ouvertes.fr/inria-00100894

P. Geer, H. W. Mclaughlin, and K. Unsworth, Discrete lines and ant algorithm, 2001.

P. Geer, H. W. Mclaughlin, and K. Unsworth, Cellular line : An introduction, 2nd Conference of Discrete Models for Complex Systems, pp.167-178, 2003.

E. Hyon, Contrôle d'admission en boucle ouverte dans les réseaux, 2002.

A. Ya and . Khinchin, Continued Fractions, 1964.

M. Lothaire, Combinatorics on Words, 1997.
DOI : 10.1017/CBO9780511566097

URL : https://hal.archives-ouvertes.fr/hal-00620607

M. Lothaire, Algebraic Combinatorics on Words, 2002.
DOI : 10.1017/CBO9781107326019

URL : https://hal.archives-ouvertes.fr/hal-00620608

M. Morse and G. A. Hedlund, Symbolic Dynamics II. Sturmian Trajectories, American Journal of Mathematics, vol.62, issue.1/4, pp.1-42, 1940.
DOI : 10.2307/2371431

. Dinard-van-der-laan, The structure and performance of optimal routing sequences, 2003.

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