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Thèmes de recherches.
-surfaces de translations, surfaces plates
-espaces des modules
-théorie de Teichmüller
-échanges d'intervalles
-billards.
Publications.
[1] Configuration of saddle
connections of quadratic differentials on CP1 and on hyperelliptic
Riemann surfaces. Comment. Math. Helv., 84 (2009), p757-791.
pdf
[2] Degenerations of quadratic
differentials on CP1, Geometry and Topology 12 (2008) p1345-1386.
pdf
[3] Dynamics and geometry of the Rauzy-Veech induction for
quadratic differentials, [avec E. Lanneau]
Ergodic Theory and Dynamical Systems, 29 (2009), p767-816
pdf
[4]
Classification of Rauzy classes in the moduli space of quadratic
differentials, (2009), Discrete and Continuous Dynamical systems,
series A, 32 (2012), p3433-3457.
pdf
[5]
Ends of strata in the moduli space of quadratic differentials,
Geometria Dedicata 159 (2012), p71-88
pdf
[6]
Pseudo-Anosov homeomorphisms on hyperelliptic surfaces have large
entropy, [avec E. Lanneau], Geom. Funct. Anal. 22 (2012)
pdf
[7]
Labeled Rauzy classes and framed translation surfaces,
Annales de l'institut Fourier 63, (2013) p. 547-572
pdf
(republié en 2015 suite à une
erreur de l'éditeur supprimant de nombreuses figures...)
[8]
Connected components of the moduli space of meromorphic differentials, Comment. Math. Helv. 90 (2015), no. 2, 255–286.
pdf
[9] Moduli space of meromorphic differentials with marked horizontal separatrices, (2015), Accepted in AGT pdf
Prépublications.
[NN]
A combinatorial move on the set of Jenkins-Strebel differentials, (2014), preprint
pdf softwares (non soumis)
[10] Geodesic length spectrum of hyperelliptic components, [avec E. Lanneau] accepted for publication in J. Eur. Math. Soc. (2021), pdf
[11] Systoles in translation surface, [avec S. Geninska] accepté pour publication dans Bull. SMF, pdf
[12]
The automorphism group of Rauzy diagrams,
(2020)
pdf
[13] Relative systoles in hyperelliptic translation surface, [avec S. Geninska] (2020), pdf