Billiards in L-Shaped Tables with Barriers |
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| Authors: | Matt Bainbridge |
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| Affiliation: | 1. Department of Mathematics, Indiana University, Rawles Hall, 831 East 3rd St, Bloomington, IN, 47405, USA
2. Department of Mathematical Sciences, University of Aarhus, Ny Munkegade 118, Building 1530, 8000, Aarhus C, Denmark
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| Abstract: | We compute the volumes of the eigenform loci in the moduli space of genus-two Abelian differentials. From this, we obtain asymptotic formulas for counting closed billiards paths in certain L-shaped polygons with barriers. |
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