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arXiv · 1308.4203

The gap distribution of slopes on the golden L

Jayadev S. Athreya·Jon Chaika·Samuel Lelievre
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Abstract

We give an explicit formula for the limiting gap distribution of slopes of saddle connections on the golden L, or any translation surface in its SL(2, R)-orbit, in particular the double pentagon. This is the first explicit computation of the distribution of gaps for a flat surface that is not a torus cover.

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Jayadev S. Athreya, Jon Chaika, Samuel Lelievre. 2013-08-20. The gap distribution of slopes on the golden L. https://arxiv.org/abs/1308.4203

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