|
Geometry & Topology 10 (2006)
1157–1172
|
| 1 |
F Dal'bo, M
Peigné, Comportement asymptotique du nombre de
géodésiques fermées sur la surface modulaire en
courbure non constante, Astérisque (1996)
111–177 MR1634272 |
| 2 |
A Eskin, J
Marklof, D Witte Morris, Unipotent flows
on the space of branched covers of Veech surfaces,
Ergodic Theory Dynam. Systems 26 (2006) 129–162 MR2201941 |
| 3 |
A Eskin, H
Masur, Asymptotic
formulas on flat surfaces, Ergodic Theory Dynam.
Systems 21 (2001) 443–478 MR1827113 |
| 4 |
A Eskin, H
Masur, M Schmoll, Billiards in
rectangles with barriers, Duke Math. J. 118 (2003)
427–463 MR1983037 |
| 5 |
A Eskin, H
Masur, A Zorich, Moduli spaces of
abelian differentials: the principal boundary, counting
problems, and the Siegel–Veech constants, Publ.
Math. Inst. Hautes Études Sci. (2003) 61–179
MR2010740 |
| 6 |
C Faivre,
Distribution of Lévy constants for quadratic
numbers, Acta Arith. 61 (1992) 13–34 MR1153919 |
| 7 |
E Gutkin, C
Judge, Affine
mappings of translation surfaces: geometry and
arithmetic, Duke Math. J. 103 (2000) 191–213
MR1760625 |
| 8 |
P Hubert, S
Lelièvre, Prime arithmetic
Teichmüller discs in H(2), Israel J. Math. 151
(2006) 281–321 MR2214127 |
| 9 |
S Lelièvre, E
Royer, Orbitwise countings in H(2) and quasimodular
forms, to appear in Internat. Math. Res. Notices
(2006) |
| 10 |
H Masur, Lower
bounds for the number of saddle connections and closed
trajectories of a quadratic differential, from:
"Holomorphic functions and moduli, Vol. I (Berkeley, CA, 1986)"
(editor D Drasin), Math. Sci. Res. Inst. Publ. 10, Springer
(1988) 215–228 MR955824 |
| 11 |
H Masur, The growth
rate of trajectories of a quadratic differential, Ergodic
Theory Dynam. Systems 10 (1990) 151–176 MR1053805 |
| 12 |
C T McMullen,
Teichmüller
curves in genus two: discriminant and spin, Math. Ann.
333 (2005) 87–130 MR2169830 |
| 13 |
M Schmoll, On the asymptotic
quadratic growth rate of saddle connections and periodic orbits
on marked flat tori, Geom. Funct. Anal. 12 (2002)
622–649 MR1924375 |
| 14 |
W A Veech,
Teichmüller curves
in moduli space, Eisenstein series and an application to
triangular billiards, Invent. Math. 97 (1989)
553–583 MR1005006 |
| 15 |
Y B Vorobets,
Ergodicity
of billiards in polygons, Mat. Sb. 188 (1997)
65–112 MR1462024 |