The gap distribution of slopes on the golden L

zbMath1332.37027arXiv1308.4203MaRDI QIDQ2786796

Jon Chaika, Samuel Lelièvre, Jayadev S. Athreya

Publication date: 23 February 2016

Full work available at URL: https://arxiv.org/abs/1308.4203

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (10)

Deloné property of the holonomy vectors of translation surfaces ⋮ 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) ⋮ Translation covers of some triply periodic Platonic surfaces ⋮ 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 ⋮ Poincaré sections for the horocycle flow in covers of \(\mathrm {SL}(2,\mathbb {R})/\mathrm {SL}(2,\mathbb {Z})\) and applications to Farey fraction statistics

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