Siegel-Veech transforms are in \(L^2\)

DOI10.3934/jmd.2019001zbMath1432.32011arXiv1711.08537OpenAlexW2932572154MaRDI QIDQ2000067

Howard A. Masur, Yitwah Cheung, Jayadev S. Athreya

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/1711.08537

zbMATH Keywords

abelian differentialsSiegel-Veech transform

Mathematics Subject Classification ID

Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Quasicrystals and aperiodic tilings in discrete geometry (52C23)

Related Items (7)

Counting pairs of saddle connections ⋮ Adelic Rogers integral formula ⋮ Measure bound for translation surfaces with short saddle connections ⋮ Uniform distribution of saddle connection lengths (with an appendix by Daniel El-Baz and Bingrong Huang) ⋮ Effective counting on translation surfaces ⋮ A higher moment formula for the Siegel-Veech transform over quotients by Hecke triangle groups ⋮ Counting saddle connections in a homology class modulo \( q \) (with an appendix by Rodolfo Gutiérrez-Romo)

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