Equidistribution of saddle connections on translation surfaces
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Publication:2000070
DOI10.3934/jmd.2019004zbMath1416.37035arXiv1705.10847OpenAlexW4298041536WikidataQ128101388 ScholiaQ128101388MaRDI QIDQ2000070
Publication date: 27 June 2019
Published in: Journal of Modern Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1705.10847
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Related Items (6)
Statistics of Square-Tiled Surfaces: Symmetry and Short Loops ⋮ Uniform distribution of saddle connection lengths in all \(\mathrm{SL}(2,\mathbb{R})\) orbits ⋮ Convergence of Siegel-Veech constants ⋮ Siegel-Veech transforms are in \(L^2\) ⋮ Uniform distribution of saddle connection lengths (with an appendix by Daniel El-Baz and Bingrong Huang) ⋮ Gaps of saddle connection directions for some branched covers of tori
Cites Work
- Isolation, equidistribution, and orbit closures for the \(\mathrm{SL}(2,\mathbb{R})\) action on moduli space
- Ergodicity of billiard flows and quadratic differentials
- Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards
- Upper bounds and asymptotics in a quantitative version of the Oppenheim conjecture
- Siegel measures
- Diophantine approximations for translation surfaces and planar resonant sets
- Convergence of Siegel-Veech constants
- Translation surfaces and their orbit closures: an introduction for a broad audience
- Quantitative recurrence and large deviations for Teichmüller geodesic flow
- Concerning the transitive properties of geodesics on a rational polyhedron
- Asymptotic formulas on flat surfaces
- The growth rate of trajectories of a quadratic differential
- Periodic billiard orbits are dense in rational polygons
- The Equidistribution of Closed Geodesics
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