19 citations · 78 across the 19 of their papers we have counts for
4 papers · 1 filter
Exceptional directions for the Teichmüller geodesic flow and Hausdorff dimension
Hamid Al-Saqban, Paul Apisa, Alena Erchenko +3
We prove that for every flat surface , the Hausdorff dimension of the set of directions in which Teichmüller geodesics starting from exhibit a definite amount of deviation f…
Rank One Orbit Closures in H^{hyp}(g-1,g-1)
Paul Apisa
Every GL(2,R)-orbit in hyperelliptic components of strata of abelian differentials in genus greater than two is either closed, dense, or contained in a locus of branched covers.
Periodic Points in Genus Two: Holomorphic Sections over Hilbert Modular Varieties, Teichmuller Dynamics, and Billiards
Paul Apisa
We show that all GL(2, R)-equivariant point markings over orbit closures of primitive genus two translation surfaces arise from marking pairs of points exchanged by the hyperellipt…
Marked points on translation surfaces
Paul Apisa, Alex Wright
We show that all GL(2,R) equivariant point markings over orbit closures of translation surfaces arise from branched covering constructions and periodic points, completely classify…