A. Avila and G. , Weak mixing for interval exchange transformations and translation flows, Annals of Mathematics, vol.165, issue.2, pp.637-664, 2007.
DOI : 10.4007/annals.2007.165.637

M. Boshernitzan, A condition for minimal interval exchange maps to be uniquely ergodic, Duke Math, J, vol.52, pp.723-752, 1985.

M. Boshernitzan, A unique ergodicity of minimal symbolic flows with linear block growth, Journal d'Analyse Math??matique, vol.115, issue.1, pp.77-96, 1984.
DOI : 10.1007/BF02790191

M. Boshernitzan, A condition for unique ergodicity of minimal symbolic flows, Ergodic Theory Dynam, Systems, vol.12, pp.425-428, 1992.

M. Boshernitzan, A condition for weak mixing of induced IETs, Contemp. Math, vol.567, pp.53-65, 2012.
DOI : 10.1090/conm/567/11251

J. Chaika, Hausdorff dimension for ergodic measures of interval exchange transformations, Journal of Modern Dynamics, vol.2, issue.3, pp.457-464, 2008.
DOI : 10.3934/jmd.2008.2.457

A. Del, J. , A. M. Rahe, and M. Swanson, Chacon's automorphism has minimal self-joinings, J. Analyse Math, vol.37, pp.276-284, 1980.

A. Del, J. , and D. J. Rudolph, A rank-one, rigid, simple, prime map, Ergodic Th, Dyn. Syst, vol.7, pp.229-247, 1987.

A. Del, J. , and D. J. Rudolph, On ergodic actions whose self-joinings are graphs, Ergodic Th, Dyn. Syst, vol.7, pp.531-557, 1987.

S. Ferenczi, Billiards in regular 2n-gons and the self-dual induction, to appear in, Journal of the London Math. Soc

S. Ferenczi, The self-dual induction for every interval exchange transformation, preprint

S. Ferenczi, C. Holton, and L. , Structure of three-interval exchange transformations III: Ergodic and spectral properties, Journal d'Analyse Math??matique, vol.106, issue.1, pp.103-138, 2004.
DOI : 10.1007/BF02789305

S. Ferenczi, C. Holton, and L. Zamboni, Joinings of three-interval exchange transformations, Ergodic Th, Dyn. Syst, vol.25, pp.483-502, 2005.

S. Ferenczi and L. Q. Zamboni, Eigenvalues and simplicity of interval exchange transformations, Annales scientifiques de l'??cole normale sup??rieure, vol.44, issue.3, pp.361-392, 2011.
DOI : 10.24033/asens.2145

URL : https://hal.archives-ouvertes.fr/hal-00865203

S. Ferenczi and T. Monteil, Infinite words with uniform frequencies, and invariant measures. Combinatorics, automata and number theory, Encyclopedia Math. Appl, vol.135, pp.373-409, 2010.
DOI : 10.1017/cbo9780511777653.008

URL : https://hal.archives-ouvertes.fr/lirmm-00804125

A. B. Katok, Invariant measures of flows on orientable surfaces, Dokl. Akad. Nauk. SSSR, vol.211, pp.775-778, 1973.

A. B. Katok and E. A. , SATAEV: Standardness of automorphisms of transposition of intervals and fluxes on surfaces, Math. Zametki Notes Acad. Sci. USSR, vol.20, pp.479-488, 1976.

A. B. Katok and A. M. Stepin, APPROXIMATIONS IN ERGODIC THEORY, translated in Russian Math. Surveys, pp.81-106, 1967.
DOI : 10.1070/RM1967v022n05ABEH001227

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

M. S. Keane, Non-ergodic interval exchange transformations, Israel Journal of Mathematics, vol.141, issue.2, pp.188-196, 1977.
DOI : 10.1007/BF03007668

H. Masur, Interval Exchange Transformations and Measured Foliations, The Annals of Mathematics, vol.115, issue.1, pp.169-200, 1982.
DOI : 10.2307/1971341

M. Morse and G. A. Hedlund, Symbolic Dynamics, American Journal of Mathematics, vol.60, issue.4, pp.815-866, 1938.
DOI : 10.2307/2371264

V. I. Oseledets, On the spectrum of ergodic automorphisms, translated in Soviet Math. Doklady, pp.1009-1011, 1966.

D. J. Rudolph, An example of a measure preserving map with minimal self-joinings, and applications, Journal d'Analyse Math??matique, vol.27, issue.1, pp.97-122, 1979.
DOI : 10.1007/BF02791063

Y. G. Sinai and C. , Weak Mixing in Interval Exchange Transformations of Periodic Type, Letters in Mathematical Physics, vol.17, issue.6, pp.111-133, 2005.
DOI : 10.1007/s11005-005-0011-0

M. Viana, Dynamics of interval exchange maps and Teichm? uller flows, preliminary manuscript available from http://w3.impa.br/?viana/out/ietf.pdf. [34] J.-C. YOCCOZ: ´ Echanges d'intervalles http://www.college-defrance .fr/media, Cours auColì ege de France (2005), pp.22460-22492