The distribution of gaps for saddle connection directions
From MaRDI portal
Publication:1934644
DOI10.1007/s00039-012-0164-9zbMath1257.32010arXiv1012.4298OpenAlexW1967429853MaRDI QIDQ1934644
Jayadev S. Athreya, Jon Chaika
Publication date: 29 January 2013
Published in: Geometric and Functional Analysis. GAFA (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1012.4298
Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Differentials on Riemann surfaces (30F30) Flows on surfaces (37E35)
Related Items (9)
The gap distribution of directions in some Schottky groups ⋮ Deloné property of the holonomy vectors of translation surfaces ⋮ Slope gap distribution of saddle connections on the \(2n\)-gon ⋮ Siegel-Veech transforms are in \(L^2\) ⋮ Uniform distribution of saddle connection lengths (with an appendix by Daniel El-Baz and Bingrong Huang) ⋮ A transversal for horocycle flow on \(\mathcal{H}(\alpha)\) ⋮ Spatial Statistics of Apollonian Gaskets ⋮ The Erdős-Szüsz-Turán distribution for equivariant processes ⋮ Gaps of saddle connection directions for some branched covers of tori
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Pair correlation of angles between reciprocal geodesics on the modular surface
- Characterizations of lattice surfaces
- Limit distributions of expanding translates of certain orbits on homogeneous spaces
- Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
- Gauss measures for transformations on the space of interval exchange maps
- Interval exchange transformations and measured foliations
- Hausdorff dimension of sets of nonergodic measured foliations
- Siegel measures
- Billiards in rectangles with barriers
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities
- Moduli spaces of Abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants
- Distribution of lattice points visible from the origin
- Closed trajectories for quadratic differentials with an application to billiards
- Asymptotic formulas on flat surfaces
- Unipotent flows on the space of branched covers of Veech surfaces
- The growth rate of trajectories of a quadratic differential
- Topological dichotomy and strict ergodicity for translation surfaces
- Connected components of the strata of the moduli spaces of quadratic differentials
- Planar structures and billiards in rational polygons: the Veech alternative
- DISTRIBUTION MODULO ONE AND RATNER’S THEOREM
This page was built for publication: The distribution of gaps for saddle connection directions
