Nous remercions tout d'abord les auteurs qui ont répondu à nos questions avec beaucoup de patience et de gentillesse ,
, Soulé pour des discussions fort utiles
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Weak mixing for interval exchange transformations and translation flows, Ann. of Math, issue.2, pp.637-664, 2007. ,
R)-invariant probability measures on the moduli spaces of translation surfaces are regular Geom, Funct. Anal, vol.23, issue.2, pp.1705-1729, 2013. ,
Simplicity of Lyapunov spectra : proof of the Zorich-Kontsevich conjecture, Acta Math, vol.198, issue.1, pp.1-56, 2007. ,
, Heat kernels and Dirac operators, 2004.
The character of the infinite wedge representation, Adv. Math, vol.149, issue.1, pp.1-60, 2000. ,
Teichmüller curves, triangle groups, and Lyapunov exponents, Ann. of Math, issue.2, pp.139-185, 2010. ,
, Non-varying sums of Lyapunov exponents of Abelian differentials in low genus, 2011.
, Diffusion for the wind-tree model, 2011.
URL : https://hal.archives-ouvertes.fr/hal-01299347
Lyapunov spectrum of square-tiled cyclic covers, Journal of Modern Dynamics, vol.5, pp.319-353, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00604365
Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow ,
Asymptotic formulas on flat surfaces, Ergodic Theory Dynam, Systems, vol.21, issue.2, pp.443-478, 2001. ,
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. ,
Invariant and stationary measures for the SL 2 (R) action on moduli spaces ,
OKOUNKOV Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials, Invent. Math, vol.145, issue.1, pp.59-103, 2001. ,
Deviation of ergodic averages for area-preserving flows on surfaces of higher genus, Ann. of Math, issue.2, pp.1-103, 2002. ,
Square-tilde cyclic covers, J. Mod. Dyn, vol.5, pp.285-318, 2011. ,
, Teichmüller theory and applications to geometry, topology, and dynamics, vol.1, 2006.
Ergodicity of billiard flows and quadratic differentials, Ann. of Math, issue.2, pp.293-311, 1986. ,
Tau-functions on spaces of Abelian differentials and higher genus generalization of Ray-Singer formula, J. Diff. Geom, vol.82, pp.35-100, 2009. ,
The mathematical beauty of physics, Adv. Ser. Math. Phys, vol.24, pp.318-332, 1997. ,
, , 1997.
Connected components of the moduli space of Abelian differentials with prescribed singularities, Invent. Math, vol.153, pp.631-678, 2003. ,
, Déviations de moyennes ergodiques, flots de Teichmüller et cocycle de Kontsevich-Zorich (d'après Forni, vol.927, pp.59-93, 2005.
Connected components of the strata of the moduli spaces of quadratic differentials, Ann. Sci. Ec. Norm. Supér, vol.1, issue.4, pp.1-56, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00374560
Asymptotics of the determinant of the laplacian on hyperbolic surfaces of finite volume, Duke Math. J, vol.71, pp.211-242, 1993. ,
Interval exchange transformations and measured foliations, Annals of Math, vol.115, pp.169-200, 1982. ,
The growth rate of trajectories of a quadratic differential, Ergodic Theory Dynam. Systems, vol.10, issue.1, pp.151-176, 1990. ,
Rational billiards and flat structures, Handbook of dynamical systems, vol.1, pp.1015-1089, 2002. ,
Billiards and Teichmüller curves on Hilbert modular surfaces, J. Amer. Math. Soc, vol.16, issue.4, pp.857-885, 2003. ,
Teichmüller geodesics of infinite complexity, Acta Math, vol.191, issue.2, pp.191-223, 2003. ,
Dynamics of SL 2 (R) over moduli space in genus two, Ann. of Math, issue.2, pp.397-456, 2007. ,
Teichmüller curves in genus two : Discriminant and spin, Math. Ann, vol.333, pp.87-130, 2005. ,
Teichmüller curves in genus two : The decagon and beyond, J. reine angew. Math, vol.582, pp.173-200, 2005. ,
Teichmüller curves in genus two : Torsion divisors and ratios of sines, Invent. Math, vol.165, pp.651-672, 2006. ,
Extremals of Determinants of Laplacians, J. Funct. Anal, vol.80, pp.148-211, 1988. ,
A criterion for flatness of Hodge bundles over curves and Geometric Applications, Math. Ann, vol.268, pp.1-20, 1984. ,
Quantum geometry of bosonic strings, Phys. Lett, vol.103, pp.211-213, 1981. ,
A characterization of short curves of a Teichmüller geodesic, Geometry and Topology, vol.9, pp.179-202, 2005. ,
Thick-thin decomposition for quadratic differentials, Math. Res. Lett, vol.14, issue.2, pp.333-341, 2007. ,
Analytic torsion for complex manifolds, Ann. of Math, vol.98, pp.154-177, 1973. ,
Lectures on Arakelov geometry, with the collaboration of D, Cambridge Studies in Advanced Mathematics, vol.33, pp.1060-1088, 1992. ,
Characterizations of lattice surfaces, Invent. Math, vol.180, issue.3, pp.535-557, 2010. ,
Gauss measures for transformations on the space of interval exchange maps, Ann. of Math, vol.115, pp.201-242, 1982. ,
Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards, Invent. Math, vol.97, issue.3, pp.553-583, 1989. ,
, Ann. of Math, issue.2, pp.895-944, 1998.
Dynamics of interval exchange maps and Teichmüller flows, preprint, 2007. ,
Asymptotics of the spectrum and the Selberg zeta function for the spaces of Riemann surfaces, Comm. Math. Phys, vol.112, pp.283-315, 1987. ,
Continued fraction algorithms for interval exchange maps : an introduction, Frontiers in number theory, physics, and geometry. I, pp.401-435, 2006. ,
Échanges d'intervalles et surfaces de translation, Exp. No. 996, vol.326, pp.387-409, 2007. ,
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. ,
Deviation for interval exchange transformations, Ergodic Theory Dynam. Systems, vol.17, issue.6, pp.1477-1499, 1997. ,
How do the leaves of a closed 1-form wind around a surface, Translations of the AMS, Ser, vol.2, pp.135-178, 1999. ,
Flat surfaces, Frontiers in number theory, physics, and geometry I, pp.437-583, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00453397
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