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Counting pairs of saddle connections

Athreya, J. S. et al.
arXiv (OAI Expanded) · Papers
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dynamical-systems
We show that for almost every translation surface the number of pairs of saddle connections with bounded magnitude of the cross product has asymptotic growth like $c R^2$ where the constant $c$ depends only on the area and the connected component of the stratum. The proof techniques combine classica
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