Recent Issues
Volume 28, 7 issues
Volume 28
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496
Volume 27, 9 issues
Volume 27
Issue 9, 3387–3831
Issue 8, 2937–3385
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415
Volume 26, 8 issues
Volume 26
Issue 8, 3307–3833
Issue 7, 2855–3306
Issue 6, 2405–2853
Issue 5, 1907–2404
Issue 4, 1435–1905
Issue 3, 937–1434
Issue 2, 477–936
Issue 1, 1–476
Volume 25, 7 issues
Volume 25
Issue 7, 3257–3753
Issue 6, 2713–3256
Issue 5, 2167–2711
Issue 4, 1631–2166
Issue 3, 1087–1630
Issue 2, 547–1085
Issue 1, 1–546
Volume 24, 7 issues
Volume 24
Issue 7, 3219–3748
Issue 6, 2675–3218
Issue 5, 2149–2674
Issue 4, 1615–2148
Issue 3, 1075–1614
Issue 2, 533–1073
Issue 1, 1–532
Volume 23, 7 issues
Volume 23
Issue 7, 3233–3749
Issue 6, 2701–3231
Issue 5, 2165–2700
Issue 4, 1621–2164
Issue 3, 1085–1619
Issue 2, 541–1084
Issue 1, 1–540
Volume 22, 7 issues
Volume 22
Issue 7, 3761–4380
Issue 6, 3145–3760
Issue 5, 2511–3144
Issue 4, 1893–2510
Issue 3, 1267–1891
Issue 2, 645–1266
Issue 1, 1–644
Volume 21, 6 issues
Volume 21
Issue 6, 3191–3810
Issue 5, 2557–3190
Issue 4, 1931–2555
Issue 3, 1285–1930
Issue 2, 647–1283
Issue 1, 1–645
Volume 20, 6 issues
Volume 20
Issue 6, 3057–3673
Issue 5, 2439–3056
Issue 4, 1807–2438
Issue 3, 1257–1806
Issue 2, 629–1255
Issue 1, 1–627
Volume 19, 6 issues
Volume 19
Issue 6, 3031–3656
Issue 5, 2407–3030
Issue 4, 1777–2406
Issue 3, 1155–1775
Issue 2, 525–1154
Issue 1, 1–523
Volume 18, 5 issues
Volume 18
Issue 5, 2487–3110
Issue 4, 1865–2486
Issue 3, 1245–1863
Issue 2, 617–1244
Issue 1, 1–616
Volume 17, 5 issues
Volume 17
Issue 5, 2513–3134
Issue 4, 1877–2512
Issue 3, 1253–1876
Issue 2, 621–1252
Issue 1, 1–620
Volume 16, 4 issues
Volume 16
Issue 4, 1881–2516
Issue 3, 1247–1880
Issue 2, 625–1246
Issue 1, 1–624
Volume 15, 4 issues
Volume 15
Issue 4, 1843–2457
Issue 3, 1225–1842
Issue 2, 609–1224
Issue 1, 1–607
Volume 14, 5 issues
Volume 14
Issue 5, 2497–3000
Issue 4, 1871–2496
Issue 3, 1243–1870
Issue 2, 627–1242
Issue 1, 1–626
Volume 13, 5 issues
Volume 13
Issue 5, 2427–3054
Issue 4, 1835–2425
Issue 3, 1229–1833
Issue 2, 623–1227
Issue 1, 1–621
Volume 12, 5 issues
Volume 12
Issue 5, 2517–2855
Issue 4, 1883–2515
Issue 3, 1265–1882
Issue 2, 639–1263
Issue 1, 1–637
Volume 11, 4 issues
Volume 11
Issue 4, 1855–2440
Issue 3, 1255–1854
Issue 2, 643–1254
Issue 1, 1–642
Volume 10, 4 issues
Volume 10
Issue 4, 1855–2504
Issue 3, 1239–1853
Issue 2, 619–1238
Issue 1, 1–617
Volume 9, 4 issues
Volume 9
Issue 4, 1775–2415
Issue 3, 1187–1774
Issue 2, 571–1185
Issue 1, 1–569
Volume 8, 3 issues
Volume 8
Issue 3, 1013–1499
Issue 2, 511–1012
Issue 1, 1–509
Volume 7, 2 issues
Volume 7
Issue 2, 569–1073
Issue 1, 1–568
Volume 6, 2 issues
Volume 6
Issue 2, 495–990
Issue 1, 1–494
Volume 5, 2 issues
Volume 5
Issue 2, 441–945
Issue 1, 1–440
Volume 4, 1 issue
Volume 3, 1 issue
Volume 2, 1 issue
Volume 1, 1 issue
1
J S Athreya , A
Eskin , A Zorich , Right-angled billiards
and volumes of moduli spaces of quadratic differentials on
ℂ P 1 , Ann. Sci. Éc. Norm. Supér. 49
(2016) 1311 MR3592359
2
A Avila , P
Hubert , Recurrence for the
wind-tree model , (2013)
3
C Boissy , Configurations of saddle
connections of quadratic differentials on ℂℙ 1 and
on hyperelliptic Riemann surfaces , Comment. Math. Helv.
84 (2009) 757 MR2534479
4
J Chaika , A
Eskin , Every flat surface is
Birkhoff and Oseledets generic in almost every
direction , J. Mod. Dyn. 9 (2015) 1 MR3395258
5
N Chevallier ,
J P Conze , Examples of recurrent
or transient stationary walks in ℝ d over
a rotation of 𝕋 2 , from: "Ergodic theory" (editor
I Assani), Contemp. Math. 485, Amer. Math. Soc. (2009) 71
MR2553210
6
V Delecroix ,
Divergent
trajectories in the periodic wind-tree model , J. Mod.
Dyn. 7 (2013) 1 MR3071463
7
V Delecroix , P
Hubert , S Lelièvre , Diffusion for the
periodic wind-tree model , Ann. Sci. Éc. Norm. Supér. 47
(2014) 1085 MR3297155
8
V Delecroix , A
Zorich , Cries and whispers in wind-tree forests ,
preprint (2015) arXiv:1502.06405
9
P Ehrenfest , T
Ehrenfest ,
Begriffliche Grundlagen der statistischen Auffassung in der
Mechanik , IV 2 II, Heft 6, Art. 32 (1912) MR0106571
10
A Eskin , M
Kontsevich , A Zorich , Sum of Lyapunov
exponents of the Hodge bundle with respect to the Teichmüller
geodesic flow , Publ. Math. Inst. Hautes Études Sci. 120
(2014) 207 MR3270590
11
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 MR2201941
12
A Eskin , H
Masur , Asymptotic formulas
on flat surfaces , Ergodic Theory Dynam. Systems 21
(2001) 443 MR1827113
13
A Eskin , H
Masur , M Schmoll , Billiards in
rectangles with barriers , Duke Math. J. 118 (2003) 427
MR1983037
14
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. 97 (2003) 61 MR2010740
15
A Eskin , M
Mirzakhani , Invariant and stationary measures for the
SL (2 , ℝ ) action on
moduli space , preprint (2013) arXiv:1302.3320
16
A Eskin , M
Mirzakhani , A Mohammadi , Isolation,
equidistribution, and orbit closures for the SL (2 , ℝ ) action on moduli space , Ann. of Math.
182 (2015) 673 MR3418528
17
G Forni , A geometric criterion
for the nonuniform hyperbolicity of the Kontsevich–Zorich
cocycle , J. Mod. Dyn. 5 (2011) 355 MR2820565
18
G Forni , C
Matheus , Introduction to
Teichmüller theory and its applications to dynamics of interval
exchange transformations, flows on surfaces and
billiards , J. Mod. Dyn. 8 (2014) 271 MR3345837
19
G Forni , C
Matheus , A Zorich , Lyapunov spectrum of
invariant subbundles of the Hodge bundle , Ergodic
Theory Dynam. Systems 34 (2014) 353 MR3233697
20
K Frączek , C
Ulcigrai , Non-ergodic
ℤ –periodic billiards and infinite
translation surfaces , Invent. Math. 197 (2014) 241
MR3232007
21
E Goujard , Siegel–Veech
constants for strata of moduli spaces of quadratic
differentials , Geom. Funct. Anal. 25 (2015) 1440
MR3426059
22
H W Gould ,
Combinatorial identities , Henry W Gould (1972) MR0354401
23
E Gutkin , C
Judge , Affine mappings
of translation surfaces: geometry and arithmetic , Duke
Math. J. 103 (2000) 191 MR1760625
24
J Hardy , J
Weber , Diffusion in a periodic
wind-tree model , J. Math. Phys. 21 (1980) 1802 MR575616
25
H Masur , Interval exchange
transformations and measured foliations , Ann. of Math.
115 (1982) 169 MR644018
26
H Masur , Lower bounds for
the number of saddle connections and closed trajectories of a
quadratic differential , from: "Holomorphic functions
and moduli, I" (editors D Drasin, C J Earle, F W
Gehring, I Kra, A Marden), Math. Sci. Res. Inst. Publ. 10,
Springer (1988) 215 MR955824
27
H Masur , The growth rate of
trajectories of a quadratic differential , Ergodic
Theory Dynam. Systems 10 (1990) 151 MR1053805
28
H Masur , A
Zorich , Multiple saddle
connections on flat surfaces and the principal boundary of the
moduli spaces of quadratic differentials , Geom. Funct.
Anal. 18 (2008) 919 MR2439000
29
M Schmoll , On the asymptotic
quadratic growth rate of saddle connections and periodic orbits
on marked flat tori , Geom. Funct. Anal. 12 (2002) 622
MR1924375
30
W A Veech ,
Gauss measures for
transformations on the space of interval exchange maps ,
Ann. of Math. 115 (1982) 201 MR644019
31
W A Veech ,
Teichmüller
curves in moduli space, Eisenstein series and an application to
triangular billiards , Invent. Math. 97 (1989) 553
MR1005006
32
W A Veech ,
The billiard in
a regular polygon , Geom. Funct. Anal. 2 (1992) 341
MR1177316
33
W A Veech ,
Siegel
measures , Ann. of Math. 148 (1998) 895 MR1670061
34
Y B Vorobets ,
Ergodicity of
billiards in polygons , Mat. Sb. 188 (1997) 65 MR1462024
35
Y Vorobets ,
Periodic
geodesics on generic translation surfaces , from:
"Algebraic and topological dynamics" (editors S Kolyada, Y
Manin, T Ward), Contemp. Math. 385, Amer. Math. Soc. (2005) 205
MR2180238
36
A Wright , Translation surfaces and their
orbit closures: an introduction for a broad audience ,
EMS Surv. Math. Sci. 2 (2015) 63 MR3354955
37
A Zorich , Flat
surfaces , from: "Frontiers in number theory, physics,
and geometry, I" (editors P Cartier, B Julia, P Moussa, P
Vanhove), Springer (2006) 437 MR2261104