Publications and preprints
My Research interests are
- Ergodic theory,
- Teichmueller dynamics,
- Billiards,
- Pseudo-Anosov diffeomorphisms,
- Geometry,
- Self-similarity.
Most of my publications are also available on
aXiV with a short
abstract .
Teichmueller
curves generated by Weierstrass Prym eigenforms in genus three and
genus four,
(with D.-M. Nguyen),
preprint submitted (2011), 51 pages |
pdf.
Pseudo-Anosov homeomorphisms on translation surfaces in hyperelliptic
components have large entropy,
(with C. Boissy),
accepted in GAFA (2011), 29 pages |
pdf.
Enumerating Pseudo-Anosov Diffeomorphisms of Punctured Discs,
(with J.-L. Thiffeault),
preprint, 35 pages, coming very soon! (2010).
On the minimum dilatation of braids on the punctured disc,
(with J.-L. Thiffeault),
accepted in Geometriae Dedicata (2010), 18 pages |
pdf.
Infinite sequences of fixed point free pseudo-Anosov homeomorphisms on genus two surface,
Contemporary Mathematics, to appear (2010), 12 pages |
pdf.
On the minimum dilatation of pseudo-Anosov diffeomorphisms on surfaces of small genera,
(with J.-L. Thiffeault),
Annales de l'Institut Fourier, volume 60,
(2010), 26 pages |
pdf.
The Cat's Cradle, Stirring,
(with J.-L. Thiffeault and S. Matz),
To appear in
Dynamical Systems Magazine (April 2009), 7 pages |
pdf.
GL(2,R)-orbit closures via topological splittings,
(with Pascal Hubert and Martin Möller),
To appear in volume 14 of
Surveys in Differential Geometry (2010), pp 145-169 pages |
pdf |
ps.
Dynamics and geometry of the Rauzy-Veech induction
for quadratic differentials,
(with Corentin Boissy),
To appear in Ergodic Theory and Dynamical Systems (2008), 50 pages |
pdf |
ps.
Completely periodic directions and orbit closures of
many pseudo-Anosov Teichmueller discs in Q(1,1,1,1),
(with Pascal Hubert and Martin Möller),
accepted in Mathematische Annalen (2010),
38 pages |
pdf |
ps.
Un théorème de Kerckhoff, Masur et Smillie :
Unique ergodicité sur les surfaces plates,
(with Sébastien Gouëzel),
Séminaires et Congrès (2008)
19, Société Mathématique de France, Paris, 28 pages |
pdf |
ps.
The Arnoux-Yoccoz Teichmüller disc,
(with Pascal Hubert and Martin Möller),
To appear in Geometric and Functional Analysis (2008), 25 pages |
pdf |
ps.
Connected components of the strata of the moduli spaces of quadratic
differentials,
Annales Scientifiques de l'ENS (2008)
41, 56 pages
|
pdf |
ps.
Veech groups without parabolic elements,
(with Pascal Hubert),
Duke Mathematical Journal (2006)
133, 7 pages |
pdf |
ps.
Parity of the spin structure defined by a quadratic differential,
Geometry & Topology (2004)
8, 28 pages |
pdf |
ps.
Hyperelliptic components of the moduli spaces of quadratic differentials with prescribed
singularities,
Commentarii Mathematici Helvetici (2004)
79, 23 pages |
pdf |
ps.
Habilitation thesis (University of Sud-Toulon-Var):
``Promenade dynamique et combinatoire dans les espaces de Teichmüller''
pdf
(defended on June 28, 2010).
Thesis (University of Rennes):
``Classification of connected components of the strata of the moduli spaces of quadratic differentials''
(defended on December 5, 2003).
Advisor: Anton Zorich
Preprints and works in progress
|
Stratification of the space of train-tracks,
(with Jérôme Los),
preprint (2007), 15 pages.
Some experiments on Pseudo-Anosov diffeomorphisms on genus 3 surfaces,
preprint (2008), 7 pages.
