2 citations · 3 across the 6 of their papers we have counts for
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A model for horizontally restricted random square-tiled surfaces
Nick Fitzhugh, Aaron Schondorf, Sunrose Shrestha +2
A square-tiled surface (STS) is a (finite, possibly branched) cover of the standard square-torus with possible branching over exactly 1 point. Alternately, STSs can be viewed as fi…
The topology and geometry of random square-tiled surfaces
Sunrose Shrestha
A square-tiled surface (STS) is a branched cover of the standard square torus with branching over exactly one point. In this paper we consider a randomizing model for STSs and gene…
Statistics of Square-tiled Surfaces: Symmetry and Short Loops
Sunrose T. Shrestha, Jane Wang
Square-tiled surfaces are a class of translation surfaces that are of particular interest in geometry and dynamics because, as covers of the square torus, they share some of its si…
Counting Formulae for Square-tiled Surfaces in Genus Two
Sunrose T. Shrestha
Square-tiled surfaces can be classified by their number of squares and their cylinder diagrams (also called realizable separatrix diagrams). For the case of squares and two con…