Billiards in L-Shaped Tables with Barriers

被引:0
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作者
Matt Bainbridge
机构
[1] Indiana University,Department of Mathematics
[2] University of Aarhus,Department of Mathematical Sciences
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关键词
Rational billiards; Hilbert modular varieties; moduli of curves; Primary 32G15; Secondary 30F30; 11F41; 37D50;
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学科分类号
摘要
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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页码:299 / 356
页数:57
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