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Counting closed geodesics on translation surfaces

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Counting closed geodesics on translation surfaces
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50
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We show that the number of closed geodesics in the flat metric on a translation surface of length at most R is asymptotic to e hR / (hR). This is joint work with Kasra Rafi