The goal of the paper is to study properties of periodic geodesics on translation surfaces that hold for generic elements of the moduli space of translation surfaces. These include quadratic asymptotics of various growth functions and uniform distribution of directions.
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Univ Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, EnglandUniv Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England
Papasoglu, Panos
Swenson, Eric
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Brigham Young Univ, Math Dept, Provo, UT 84602 USAUniv Oxford, Math Inst, Andrew Wiles Bldg,Woodstock Rd, Oxford OX2 6GG, England