arXiv 0705.32712007-05-23math.GTmath.DS

Billiards in L-shaped tables with barriers

Matt Bainbridge

备注：: 63 pages, 6 figures

英文摘要：

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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