Download this article
 Download this article For screen
For printing
Recent Issues

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Slope gap distributions of Veech surfaces

Luis Kumanduri, Anthony Sanchez and Jane Wang

Algebraic & Geometric Topology 24 (2024) 951–980
Bibliography
1 J S Athreya, Gap distributions and homogeneous dynamics, from: "Geometry, topology, and dynamics in negative curvature" (editors C S Aravinda, F T Farrell, J F Lafont), Lond. Math. Soc. Lect. Note Ser. 425, Cambridge Univ. Press (2016) 1 MR3497256
2 J S Athreya, J Chaika, The distribution of gaps for saddle connection directions, Geom. Funct. Anal. 22 (2012) 1491 MR3000496
3 J S Athreya, J Chaika, S Lelièvre, The gap distribution of slopes on the golden L, from: "Recent trends in ergodic theory and dynamical systems" (editors S Bhattacharya, T Das, A Ghosh, R Shah), Contemp. Math. 631, Amer. Math. Soc. (2015) 47 MR3330337
4 J S Athreya, Y Cheung, A Poincaré section for the horocycle flow on the space of lattices, Int. Math. Res. Not. 2014 (2014) 2643 MR3214280
5 J Berman, T McAdam, A Miller-Murthy, C Uyanik, H Wan, Slope gap distribution of saddle connections on the 2n–gon, Discrete Contin. Dyn. Syst. 43 (2023) 1 MR4514570
6 P Hubert, T A Schmidt, An introduction to Veech surfaces, from: "Handbook of dynamical systems, 1B" (editors B Hasselblatt, A Katok), Elsevier (2006) 501 MR2186246
7 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 MR0955824
8 H Masur, The growth rate of trajectories of a quadratic differential, Ergodic Theory Dynam. Systems 10 (1990) 151 MR1053805
9 A Sanchez, Gaps of saddle connection directions for some branched covers of tori, Ergodic Theory Dynam. Systems 42 (2022) 3191 MR4476101
10 D Taha, On cross sections to the geodesic and horocycle flows on quotients of SL(2, ) by Hecke triangle groups Gq, preprint (2019) arXiv:1906.07250
11 C Uyanik, G Work, The distribution of gaps for saddle connections on the octagon, Int. Math. Res. Not. 2016 (2016) 5569 MR3567252
12 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
13 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