3 papers
math.DS2026
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…
math.GT2025
Veech groups of covers of the Chamanara surface
Mauro Artigiani, Anja Randecker, Chandrika Sadanand +2
We study finite abelian covers of the Chamanara surface, an example of a finite-area infinite translation surface with interesting dynamics and a large Veech group. Specifically, t…
math.GT2018
You can hear the shape of a billiard table: Symbolic dynamics and rigidity for flat surfaces
Moon Duchin, Viveka Erlandsson, Christopher J. Leininger +1
We give a complete characterization of the relationship between the shape of a Euclidean polygon and the symbolic dynamics of its billiard flow. We prove that the only pairs of tab…