3 papers
math.DS2026
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 gr…
math.DS2026
Straight-line trajectories on the Mucube
Andre Oliveira, Felipe A. RamÃrez, 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…
math.GT2026
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…