Effective counting on translation surfaces

DOI10.1016/j.aim.2019.106890zbMath1451.37049arXiv1708.06263OpenAlexW2986332204WikidataQ126811979 ScholiaQ126811979MaRDI QIDQ2281325

Barak Weiss, Amos Nevo, Rene Rühr

Publication date: 19 December 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.06263

zbMATH Keywords

translation surfacessaddle connectionscounting asymptoticseffective ergodic theorem

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Ergodic theorems, spectral theory, Markov operators (37A30) Orbit growth in dynamical systems (37C35) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

Counting pairs of saddle connections ⋮ Uniform distribution of saddle connection lengths in all \(\mathrm{SL}(2,\mathbb{R})\) orbits ⋮ Siegel-Veech transforms are in \(L^2\) ⋮ Uniform distribution of saddle connection lengths (with an appendix by Daniel El-Baz and Bingrong Huang) ⋮ Counting saddle connections in a homology class modulo \( q \) (with an appendix by Rodolfo Gutiérrez-Romo) ⋮ ENUMERATION OF MEANDERS AND MASUR–VEECH VOLUMES ⋮ Effective counting for discrete lattice orbits in the plane via Eisenstein series ⋮ On convergence of random walks on moduli space

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