The gap distribution of slopes on the golden L

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 toru...

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Bibliographic Details
Main Authors Athreya, Jayadev S, Chaika, Jon, Lelievre, Samuel
Format Journal Article
LanguageEnglish
Published 19.08.2013
Subjects
Mathematics - Dynamical Systems
Mathematics - Geometric Topology
Mathematics - Number Theory
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Summary: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.
DOI:10.48550/arxiv.1308.4203