P. Balá?i, Z. Masáková, and E. Pelantová, Characterization of substitution invariant words coding exchange of three intervals, Integers, vol.8, issue.21, p.20, 2008.

L. Balková, E. Pelantová, and W. Steiner, Sequences with constant number of return words, Monatshefte f??r Mathematik, vol.22, issue.3-4, pp.251-263, 2008.
DOI : 10.1007/s00605-008-0001-2

J. Berstel, C. De-felice, D. Perrin, C. Reutenauer, and G. Rindone, Bifix codes and Sturmian words, Journal of Algebra, vol.369, pp.146-202, 2012.
DOI : 10.1016/j.jalgebra.2012.07.013
URL : https://hal.archives-ouvertes.fr/hal-00793907

V. Berthé, C. De-felice, F. Dolce, J. Leroy, D. Perrin et al., Maximal bifix decoding, Discrete Mathematics, vol.338, issue.5, pp.725-742, 2015.
DOI : 10.1016/j.disc.2014.12.010

V. Berthé, C. De-felice, F. Dolce, J. Leroy, D. Perrin et al., Acyclic, connected and tree sets, Monatshefte f??r Mathematik, vol.18, issue.3???4, 2015.
DOI : 10.1007/s00605-014-0721-4

C. Boissy and E. Lanneau, Dynamics and geometry of the Rauzy???Veech induction for quadratic differentials, Ergodic Theory and Dynamical Systems, vol.34, issue.03, pp.767-816, 2009.
DOI : 10.2307/2007091
URL : https://hal.archives-ouvertes.fr/hal-00403488

M. D. Boshernitzan and C. R. Carroll, An extension of Lagrange???s theorem to interval exchange transformations over quadratic fields, Journal d'Analyse Math??matique, vol.115, issue.1, pp.21-44, 1997.
DOI : 10.1007/BF02843152

D. Michael and . Boshernitzan, Rank two interval exchange transformations. Ergodic Theory Dynam, Systems, vol.8, issue.3, pp.379-394, 1988.

I. P. Cornfeld, S. V. Fomin, and Y. G. , Sina? ?. Ergodic theory, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 1982.

C. Danthony and A. Nogueira, Measured foliations on nonorientable surfaces, Annales scientifiques de l'??cole normale sup??rieure, vol.23, issue.3, pp.469-494, 1990.
DOI : 10.24033/asens.1608

F. Durand, A characterization of substitutive sequences using return words, Discrete Mathematics, vol.179, issue.1-3, pp.89-101, 1998.
DOI : 10.1016/S0012-365X(97)00029-0
URL : https://hal.archives-ouvertes.fr/hal-00303319

S. Ferenczi and L. Q. Zamboni, -interval exchange transformations, Bulletin of the London Mathematical Society, vol.40, issue.4, pp.705-714, 2008.
DOI : 10.1112/blms/bdn051
URL : https://hal.archives-ouvertes.fr/hal-01263098

N. and P. Fogg, Substitutions in dynamics, arithmetics and combinatorics , volume 1794 of Lecture Notes in Mathematics, 2002.

Y. Jullian, An algorithm to identify automorphisms which arise from self-induced interval exchange transformations, Mathematische Zeitschrift, vol.115, issue.1, pp.33-55, 2013.
DOI : 10.1007/s00209-012-1056-2

J. Justin and L. Vuillon, Return words in Sturmian and episturmian words, RAIRO - Theoretical Informatics and Applications, vol.34, issue.5, pp.343-356, 2000.
DOI : 10.1051/ita:2000121

M. Keane, Interval exchange transformations, Mathematische Zeitschrift, vol.141, issue.1, pp.25-31, 1975.
DOI : 10.1007/BF01236981

M. Lothaire, Algebraic combinatorics on words, volume 90 of Encyclopedia of Mathematics and its Applications, 2002.

T. Miernowski and A. Nogueira, Exactness of the Euclidean algorithm and of the Rauzy induction on the space of interval exchange transformations. Ergodic Theory Dynam, Systems, vol.33, issue.1, pp.221-246, 2013.

V. I. Oseledec, The spectrum of ergodic automorphisms, Dokl. Akad. Nauk SSSR, vol.168, pp.1009-1011, 1966.

G. Rauzy, ´ Echanges d'intervalles et transformations induites, Acta Arith, vol.34, issue.4, pp.315-328, 1979.

A. Skripchenko, Symmetric interval identification systems of order three, Discrete and Continuous Dynamical Systems, vol.32, issue.2, pp.643-656, 2012.
DOI : 10.3934/dcds.2012.32.643

M. Viana, Ergodic Theory of Interval Exchange Maps, Revista Matem??tica Complutense, vol.19, issue.1, pp.7-100, 2006.
DOI : 10.5209/rev_REMA.2006.v19.n1.16621

L. Vuillon, On the number of return words in infinite words constructed by interval exchange transformations, Pure Math. Appl. (PU.M.A.), vol.18, pp.3-4345, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00387963

J. Yoccoz, Interval exchange maps and translation surfaces In Homogeneous flows, moduli spaces and arithmetic, Clay Math. Proc. Amer. Math. Soc, vol.10, pp.1-69, 2010.