The Distribution of Gaps for Saddle Connections on the Octagon

DOI10.1093/imrn/rnv317zbMath1404.37039arXiv1409.0830OpenAlexW3101202818MaRDI QIDQ4560513

Caglar Uyanik, Grace Work

Publication date: 12 December 2018

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.0830

Mathematics Subject Classification ID

Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (7)

Slope gap distribution of saddle connections on the \(2n\)-gon ⋮ Improved tail estimates for the distribution of quadratic Weyl sums ⋮ 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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