R. Athreya, A. Eskin, and A. Zorich, Rectangular Billiards and volume of spaces of quadratic differentials

A. Eskin and H. Masur, Asymptotic formulas on flat surfaces, Ergodic Theory and Dynamical Systems, pp.443-478, 2001.

. A. Emz, H. Eskin, A. Masur, and . Zorich, Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants, Publ. Math. Inst. HautesÉtudesHautes´HautesÉtudes Sci, vol.97, pp.61-179, 2003.

. P. Hlm, E. Hubert, M. Lanneau, and . Möller, The Arnoux-Yoccoz Teichmüller disc, 2006.

. J. Hm, H. Hubbard, and . Masur, Quadratic differentials and foliations, Acta Math, Topological transitivity of billiards in polygons, pp.221-274, 1975.

. M. Kz and A. Kontsevich, Zorich Connected components of the moduli spaces of Abelian differentials with prescribed singularities, Invent. Math, vol.153, issue.3, pp.631-678, 2003.

E. Lanneau, Hyperelliptic components of the moduli spaces of quadratic differentials with prescribed singularities, Commentarii Mathematici Helvetici, vol.79, issue.3, pp.471-501, 2004.
DOI : 10.1007/s00014-004-0806-0

URL : https://hal.archives-ouvertes.fr/hal-00013159

E. Lanneau, Connected components of the strata of the moduli spaces of quadratic differentials Preprint, 2004.

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

J. [. Masur and . Smillie, Hausdorff Dimension of Sets of Nonergodic Measured Foliations, The Annals of Mathematics, vol.134, issue.3, pp.455-543, 1991.
DOI : 10.2307/2944356

S. [. Masur and . Tabachnikov, Rational billiards and flat structures. Handbook of dynamical systems, pp.1015-1089, 2002.
DOI : 10.1016/s1874-575x(02)80015-7

A. [. Masur and . Zorich, Multiple saddle connections on flat surfaces and the principal boundary of the moduli space of quadratic differentials, arXiv:math/0402197v2

]. C. Mc and . Mcmullen, Dynamics of SL2(R) over moduli space in genus two, Ann. of Math, vol.165, pp.397-456, 2007.

W. A. Veech, Gauss Measures for Transformations on the Space of Interval Exchange Maps, The Annals of Mathematics, vol.115, issue.2, pp.201-242, 1982.
DOI : 10.2307/1971391

W. A. Veech, The Teichmuller Geodesic Flow, The Annals of Mathematics, vol.124, issue.3, pp.441-530, 1986.
DOI : 10.2307/2007091

A. Zorich and F. Surfaces, Frontiers in Number Theory On random matrices, zeta functions and dynamical systems, Physics and Geometry. P. Cartier; B, vol.1, pp.439-586, 2006.

. A. Emz, H. Eskin, A. Masur, and . Zorich, Moduli spaces of abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants, Publ. Math. Inst. Hautes Études Sci, vol.97, pp.61-179, 2003.

. M. Kz and A. Kontsevich, Zorich Connected components of the moduli spaces of Abelian differentials with prescribed singularities, Invent. Math, vol.153, issue.3, pp.631-678, 2003.

J. Hubbard and H. Masur, Quadratic differentials and foliations, Acta Mathematica, vol.142, issue.0, pp.221-274, 1979.
DOI : 10.1007/BF02395062

. B. Hr and A. Hughes, Ranicky Ends of complexes

E. Lanneau, Connected components of the moduli spaces of quadratic differentials with prescribed singularities, Comment. Math. Helv, vol.79, issue.3, pp.471-501, 2004.

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

J. [. Masur and . Smillie, Hausdorff Dimension of Sets of Nonergodic Measured Foliations, The Annals of Mathematics, vol.134, issue.3, pp.455-543, 1991.
DOI : 10.2307/2944356

S. [. Masur and . Tabachnikov, Rational billiards and flat structures. Handbook of dynamical systems, pp.1015-1089, 2002.
DOI : 10.1016/s1874-575x(02)80015-7

A. [. Masur and . Zorich, Multiple saddle connections on flat surfaces and the principal boundary of the moduli space of quadratic differentials arXiv:math/0402197v2

W. A. Veech, Gauss Measures for Transformations on the Space of Interval Exchange Maps, The Annals of Mathematics, vol.115, issue.2, pp.201-242, 1982.
DOI : 10.2307/1971391

W. A. Veech, Geometric realizations of hyperelliptic curves. Algorithms, fractals, and dynamics, pp.217-226, 1992.

J. Yoccoz, Continued fraction algorithms for interval exchange maps: an introduction In collection " Frontiers in number theory, physics, and geometry On random matrices, zeta functions and dynamical systems, P. Cartier; B. Julia; P. Moussa; P. Vanhove, vol.1, pp.401-435, 2006.

A. Zorich and F. Surfaces, Frontiers in Number Theory On random matrices, zeta functions and dynamical systems, Physics and Geometry. P. Cartier; B, vol.1, pp.439-586, 2006.

R. Avila, S. Gouezel, and J. , Exponential mixing for the Teichm??ller flow, Publications math??matiques de l'IH??S, vol.46, issue.1, pp.143-211, 2006.
DOI : 10.1007/s10240-006-0001-5

A. Avila and M. Viana, Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture, Acta Mathematica, vol.198, issue.1, pp.1-56, 2007.
DOI : 10.1007/s11511-007-0012-1

C. Boissy, Degenerations of quadratic differentials on CP 1, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00168265

C. Danthony, A. Nogueira, and ?. , 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

URL : http://archive.numdam.org/article/ASENS_1990_4_23_3_469_0.pdf

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

M. Kontsevich and A. Zorich, Lyapunov exponents and Hodge theory, pp.9701164-9701165, 1997.

M. Kontsevich, A. Zorich, and ?. , Connected components of the moduli spaces of Abelian differentials with prescribed singularities, Inventiones Mathematicae, vol.153, issue.3, pp.631-678, 2003.
DOI : 10.1007/s00222-003-0303-x

S. Marmi, P. Moussa, J. Yoccoz, and ?. , The cohomological equation for Roth type interval exchange transformations, Journal of the American Mathematical Society, vol.18, issue.04, pp.823-872, 2005.
DOI : 10.1090/S0894-0347-05-00490-X

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

H. Masur, S. Tabachnikov, and ?. , Chapter 13 Rational billiards and flat structures, Handbook of dynamical systems, vol.1, pp.1015-1089, 2002.
DOI : 10.1016/S1874-575X(02)80015-7

A. Nogueira and ?. , Almost all interval exchange transformations with flips are nonergodic, Ergodic Theory and Dynamical Systems, vol.34, issue.03, 1990.
DOI : 10.1016/0022-0396(78)90048-7

G. Rauzy and ?. , Échanges d'intervalles et transformations induites, Acta Arith, vol.34, pp.315-328, 1979.

W. Veech, Interval exchange transformations, Journal d'Analyse Math??matique, vol.49, issue.2, pp.222-272, 1978.
DOI : 10.1007/BF02790174

A. Zorich, Finite Gauss measure on the space of interval exchange transformations. Lyapunov exponents, Annales de l???institut Fourier, vol.46, issue.2, pp.325-370, 1996.
DOI : 10.5802/aif.1517

]. A. Bibliographie1, S. Avila, J. Gouëzel, and . Yoccoz, Exponential mixing for the Teichmüller flow, Publ. Math. Inst. Hautes Études Sci, vol.104, pp.143-211, 2006.

A. Avila and M. Viana, Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture, Acta Mathematica, vol.198, issue.1, pp.1-56, 2007.
DOI : 10.1007/s11511-007-0012-1

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

A. Eskin and H. , Masur Asymptotic formulas on flat surfaces, Ergodic Theory Dynam, Systems, vol.21, issue.2, pp.443-478, 2001.

A. Eskin, H. Masur, and A. Zorich, Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel???Veech constants, Publications math??matiques de l'IH??S, vol.97, issue.1, pp.61-179, 2003.
DOI : 10.1007/s10240-003-0015-1

G. Forni, Deviation of Ergodic Averages for Area-Preserving Flows on Surfaces of Higher Genus, The Annals of Mathematics, vol.155, issue.1, pp.1-103, 2002.
DOI : 10.2307/3062150

J. Hubbard, Teichmüller Theory and Applications to Geometry, Topology , and Dynamics. Volume I : Teichmüller Theory, Matrix Editions, 2006.

J. Hubbard and H. , Quadratic differentials and foliations, Acta Mathematica, vol.142, issue.0, pp.221-274, 1979.
DOI : 10.1007/BF02395062

P. Hubert, E. Lanneau, and M. , Moeller Completely periodic directions and orbit closures of many pseudo-Anosov Teichmüller discs in Q(1,1,1,1), preprint, 2007.

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

M. Kontsevich and A. , Connected components of the moduli spaces of Abelian differentials with prescribed singularities, Inventiones Mathematicae, vol.153, issue.3, pp.631-678, 2003.
DOI : 10.1007/s00222-003-0303-x

E. Lanneau, Hyperelliptic components of the moduli spaces of quadratic differentials with prescribed singularities, Commentarii Mathematici Helvetici, vol.79, issue.3, pp.471-501, 2004.
DOI : 10.1007/s00014-004-0806-0

URL : https://hal.archives-ouvertes.fr/hal-00013159

E. Lanneau, Connected components of the moduli spaces of quadratic differentials with prescribed singularities, preprint, paraître dans les Ann. Sci. de l'ENS, 2004.

C. T. Mcmullen, (???) over moduli space in genus two, Annals of Mathematics, vol.165, issue.2, pp.397-456, 2007.
DOI : 10.4007/annals.2007.165.397

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

H. Masur and J. Smillie, Hausdorff Dimension of Sets of Nonergodic Measured Foliations, The Annals of Mathematics, vol.134, issue.3, pp.455-543, 1991.
DOI : 10.2307/2944356

H. Masur and J. Smillie, Quadratic differentials with prescribed singularities and pseudo-Anosov diffeomorphisms, Commentarii Mathematici Helvetici, vol.68, issue.1, pp.289-307, 1993.
DOI : 10.1007/BF02565820

H. Masur and S. Tabachnikov, Rational billiards and flat structures. Handbook of dynamical systems, pp.1015-1089, 2002.
DOI : 10.1016/s1874-575x(02)80015-7

H. Masur and A. Zorich, Multiple saddle connexions on flat surfaces and the principal boundary of the moduli space of quadratic differentials arxiv math

G. Rauzy, Échanges d'intervalles et transformations induites. (French) Acta Arith, pp.315-328, 1979.

W. A. Veech, Gauss Measures for Transformations on the Space of Interval Exchange Maps, The Annals of Mathematics, vol.115, issue.2, pp.201-242, 1982.
DOI : 10.2307/1971391

A. Zorich and F. Surfaces, Frontiers in Number Theory On random matrices, zeta functions and dynamical systems, Physics and Geometry. P. Cartier ; B, vol.1, pp.439-586, 2006.

A. Zorich, Explicit Jenkins-Strebel representative of all strata of Abelian and quadratic differentials preprint, 2007.