Symplectic and isometric sl(2,r) invariant subbundles of the hodge bundle, 2012. ,
Right-angled billiards and volumes of moduli spaces of quadratic differentials on Cp 1, Ann. Sci. Éc. Norm. Supér, vol.49, issue.6, 2016. ,
Every flat surface is Birkhoff and Oseledets generic in almost every direction, J. Mod. Dyn, vol.9, pp.1-23, 2015. ,
Diffusion for the periodic wind-tree model, Ann. Sci. Éc. Norm. Supér, vol.47, issue.4, pp.1085-1110, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-01299347
Cries and whispers in wind-tree forests, 2015. ,
The conceptual foundations of the statistical approach in mechanics, 1990. ,
Invariant and stationary measures for the sl(2,r) action on moduli space, 2013. ,
Isolation, equidistribution, and orbit closures for the SL(2, R) action on moduli space, Ann. of Math, vol.182, issue.2, pp.673-721, 2015. ,
Lyapunov exponents of the hodge bundle over strata of quadratic differentials with large number of poles, 2016. ,
Non-ergodic Z-periodic billiards and infinite translation surfaces, Invent. Math, vol.197, issue.2, pp.241-298, 2014. ,
Noncommuting random products, Trans. Amer. Math. Soc, vol.108, pp.377-428, 1963. ,
A Poisson formula for semi-simple Lie groups, Ann. of Math, vol.77, issue.2, pp.335-386, 1963. ,
Diffusion in a periodic wind-tree model, J. Math. Phys, vol.21, issue.7, pp.1802-1808, 1980. ,
Ergodicity of the Ehrenfest wind-tree model, C. R. Math. Acad. Sci. Paris, vol.354, issue.10, pp.1032-1036, 2016. ,
Homogenous projective factors for actions of semisimple Lie groups, Invent. Math, vol.138, issue.2, pp.229-252, 1999. ,
Flat surfaces, Amer. J. Math, vol.115, issue.3, pp.589-689, 1993. ,
The field of definition of affine invariant submanifolds of the moduli space of abelian differentials, Geom. Topol, vol.18, issue.3, pp.1323-1341, 2014. ,
Monodromy for the hypergeometric function nFn?1, Invent. Math, vol.95, issue.2, pp.325-354, 1989. ,
Teichmüller curves, triangle groups, and Lyapunov exponents, Ann. of Math, vol.172, issue.2, pp.139-185, 2010. ,
Thin monodromy in Sp(4), Compos. Math, vol.150, issue.3, pp.333-343, 2014. ,
, Trajectoires géodésiques et horocycliques. Savoirs Actuels
, CNRS Éditions, 2007.
Hodge theory of the middle convolution, Publ. Res. Inst. Math. Sci, vol.49, issue.4, pp.761-800, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00816198
Lower bounds for lyapunov exponents of flat bundles on curves, 2016. ,
Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow, Publ. Math. Inst. Hautes Études Sci, vol.120, pp.207-333, 2014. ,
Monodromy calculations of fourth order equations of calabi-yau type, Mirror Symmetry V", the BIRS Proc. on Calabi-Yau Varieties and Mirror Symmetry, 2008. ,
Variations of hodge structures for hypergeometric differential operators and parabolic higgs bundles, 2015. ,
, Simion Filip. Families of k3 surfaces and lyapunov exponents, 2014.
Zero Lyapunov exponents of the Hodge bundle, Comment. Math. Helv, vol.89, issue.2, pp.489-535, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-00709689
Rigid local systems, Annals of Mathematics Studies, vol.139, 1996. ,
Lyapunov spectrum of ball quotients with applications to commensurability questions, Duke Math. J, vol.165, issue.1, pp.1-66, 2016. ,
Lyapunov exponents and Hodge theory, The mathematical beauty of physics, vol.24, pp.318-332, 1996. ,
Déviations de moyennes ergodiques, flots de teichmüller et cocycle de kontsevich-zorich, Séminaire Bourbaki, vol.46, pp.59-94, 2003. ,
Connected components of the moduli spaces of Abelian differentials with prescribed singularities, Invent. Math, vol.153, issue.3, pp.631-678, 2003. ,
Big bang, blowup, and modular curves: Algebraic geometry in cosmology, 2014. ,
Symbolic dynamics, modular curves, and bianchi ix cosmologies, 2015. ,
Variation of Hodge structure: the singularities of the period mapping, Invent. Math, vol.22, pp.211-319, 1973. ,
The modular surface and continued fractions, J. London Math. Soc, vol.31, issue.2, pp.69-80, 1985. ,
Harmonic bundles on noncompact curves, J. Amer. Math. Soc, vol.3, issue.3, pp.713-770, 1990. ,
Arithmeticity of certain symplectic hypergeometric groups, Duke Math. J, vol.163, issue.3, pp.591-617, 2014. ,
Modular interpretations of configuration spaces, Hypergeometric functions, my love. Aspects of Mathematics, E32. Friedr. Vieweg & Sohn, 1997. ,
Persistence of wandering intervals in self-similar affine interval exchange transformations, Ergodic Theory Dynam. Systems, vol.30, issue.3, pp.665-686, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00629376
Affine interval exchange transformations with wandering intervals. Ergodic Theory Dynam, Systems, vol.17, issue.6, pp.1315-1338, 1997. ,
Affine and projective structures on Riemann surfaces, Riemann surfaces and related topics: Proceedings of the 1978 Stony Brook Conference, vol.97, pp.225-244, 1978. ,
Chapter 6 -An Introduction to Veech Surfaces, Handbook of Dynamical Systems, vol.1, pp.501-526, 2006. ,
Feuilletages des surfaces, Ann. Inst. Fourier (Grenoble), vol.32, issue.2, pp.179-217, 1982. ,
Dynamique générique des feuilletages transversalement affines des surfaces, Bull. Soc. Math. France, vol.123, issue.4, pp.493-516, 1995. ,
Branched structures on Riemann surfaces, Trans. Amer. Math. Soc, vol.163, pp.261-275, 1972. ,
Branched structures and affine and projective bundles on Riemann surfaces, Trans. Amer. Math. Soc, vol.183, pp.37-58, 1973. ,
Affine interval exchange maps with a wandering interval, Proc. Lond. Math. Soc, vol.100, issue.3, pp.639-669, 2010. ,
Zur Integration der gleichzeitigen Differentialgleichungen, J. Reine Angew. Math, vol.70, pp.354-362, 1869. ,
Flat surfaces, Amer. J. Math, vol.115, issue.3, pp.589-689, 1993. ,
Delaunay partitions, Topology, vol.36, issue.1, pp.1-28, 1997. ,
Informal notes on flat surfaces, 2008. ,
Flat surfaces, Frontiers in number theory, physics, and geometry. I, pp.437-583, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00453397
Fundamental polyhedrons and limit point sets of Kleinian groups, Proc. Nat. Acad. Sci. U.S.A, vol.55, pp.251-254, 1966. ,
Persistence of wandering intervals in self-similar affine interval exchange transformations, Ergodic Theory Dynam. Systems, vol.30, issue.3, pp.665-686, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00629376
Affine interval exchange transformations with wandering intervals. Ergodic Theory Dynam, Systems, vol.17, issue.6, pp.1315-1338, 1997. ,
Geodesic and horocyclic trajectories, 2011. ,
, Affine surfaces and their veech groups
The invariant measures of some infinite interval exchange maps, Geom. Topol, vol.19, issue.4, pp.1895-2038, 2015. ,
Chicago lectures in mathematics series, 1992. ,
La décomposition dynamique et la différentiabilité des feuilletages des surfaces, Ann. Inst. Fourier (Grenoble), vol.37, issue.3, pp.85-116, 1987. ,
Dynamique générique des feuilletages transversalement affines des surfaces, Bull. Soc. Math. France, vol.123, issue.4, pp.493-516, 1995. ,
Prym varieties and Teichmüller curves, Duke Math. J, vol.133, issue.3, pp.569-590, 2006. ,
Affine interval exchange maps with a wandering interval, Proc. Lond. Math. Soc, vol.100, issue.3, pp.639-669, 2010. ,
Échanges d'intervalles et transformations induites, Acta Arith, vol.34, issue.4, pp.315-328, 1979. ,
On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. (N.S.), vol.19, issue.2, pp.417-431, 1988. ,
Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards, Invent. Math, vol.97, issue.3, pp.553-583, 1989. ,
Échanges d' intervalles. Cours au Collège de France, janviermars, 2005. ,