The distribution of gaps for saddle connection directions

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

zbMATH Keywords

translation surfacessaddle connectionsholomorphic differentials on Riemann surfaces

Mathematics Subject Classification ID

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

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