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Billiards in L-Shaped Tables with Barriers

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An Erratum to this article was published on 06 November 2010

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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Author notes

  1. Matt Bainbridge

    Present address: Department of Mathematical Sciences, University of Aarhus, Ny Munkegade 118, Building 1530, 8000, Aarhus C, Denmark

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  1. Department of Mathematics, Indiana University, Rawles Hall, 831 East 3rd St, Bloomington, IN, 47405, USA

    Matt Bainbridge

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  1. Matt Bainbridge
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Correspondence to Matt Bainbridge.

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An erratum to this article can be found at http://dx.doi.org/10.1007/s00039-010-0100-9

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Bainbridge, M. Billiards in L-Shaped Tables with Barriers. Geom. Funct. Anal. 20, 299–356 (2010). https://doi.org/10.1007/s00039-010-0065-8

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