The gap distribution of slopes on the golden L
classification
🧮 math.DS
math.GTmath.NT
keywords
distributionexplicitgoldenslopessurfacecomputationconnectionscover
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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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