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Counting saddle connections in a homology class modulo \begin{document}$ \boldsymbol q $\end{document} (with an appendix by Rodolfo Gutiérrez-Romo)
Type of publication
Peer-reviewed
Publikationsform
Original article (peer-reviewed)
Author
Magee Michael, Rühr Rene,
Project
Application of Homogeneous Dynamics: Effective Equidistribution and Counting
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Original article (peer-reviewed)
Journal
Journal of Modern Dynamics
Volume (Issue)
15(0)
Page(s)
237 - 262
Title of proceedings
Journal of Modern Dynamics
DOI
10.3934/jmd.2019020
Open Access
URL
https://arxiv.org/abs/1809.00579
Type of Open Access
Repository (Green Open Access)
Abstract
We give effective estimates for the number of saddle connections on a translation surface that have length ≤L and are in a prescribed homology class modulo q. Our estimates apply to almost all translation surfaces in a stratum of the moduli space of translation surfaces, with respect to the Masur-Veech measure on the stratum.
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