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The gap distribution of slopes on the golden L

Research paper by Jayadev S. Athreya, Jon Chaika, Samuel Lelievre

Indexed on: 19 Aug '13Published on: 19 Aug '13Published in: Mathematics - Dynamical Systems



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.