2 citations · 3 across the 6 of their papers we have counts for
8 papers
Complexity of Billiards in Polygons Associated to Hyperbolic -Tilings
Sunrose T. Shrestha, Jane Wang
The complexity of the billiard language of regular polygons in the hyperbolic plane with sides and internal angles is known to grow exponentially and the exponential gro…
Straight-line trajectories on the Mucube
Andre Oliveira, Felipe A. Ramírez, Chandrika Sadanand +1
The dynamics of straight line flows on compact half-translation surfaces (surfaces formed by gluing Euclidean polygons edge-to-edge via translations possibly composed with rotation…
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…
Asymptotic identities for additive convolutions of sums of divisors
Robert J. Lemke Oliver, Sunrose T. Shrestha, Frank Thorne
In a 1916 paper, Ramanujan studied the additive convolution of sum-of-divisors functions and , and proved an asymptotic formula for it when and $…
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…
Universal State Transfer on Graphs
Stephen Cameron, Shannon Fehrenbach, Leah Granger +3
A continuous-time quantum walk on a graph is given by the unitary matrix , where is the Hermitian adjacency matrix of . We say has pretty good sta…