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math.DS2021★ 1 cited
Billiards in right triangles and orbit closures in genus zero strata
Paul Apisa
The orbit closure of the unfolding of every rational right and isosceles triangle is computed and the asymptotic number of periodic billiard trajectories in these triangles is dedu…
math.DS2021★ 2 cited
Invariant Subvarieties of Minimal Homological Dimension, Zero Lyapunov Exponents, and Monodromy
Paul Apisa
We classify the GL(2,R)-invariant subvarieties M in strata of Abelian differentials for which any two M-parallel cylinders have homologous core curves. This answers a question of M…
math.DS2021★ 1 cited
High rank invariant subvarieties
Paul Apisa, Alex Wright
We classify GL(2,R) orbit closures of translation surfaces of rank at least half the genus plus 1.