Billiards in L-shaped tables with barriers

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.

63 pages, 6 figures

References in corpus (3)

• Euler characteristics of Teichmüller curves in genus two
• Orbitwise countings in H(2) and quasimodular forms
• Siegel-Veech constants in H(2)