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arxiv: 0705.3271 · v1 · submitted 2007-05-23 · 🧮 math.GT · math.DS

Billiards in L-shaped tables with barriers

classification 🧮 math.GT math.DS
keywords barriersbilliardsl-shapedabelianasymptoticcertainclosedcompute
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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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