3 papers
math.GT2026
Realizing groups as symmetries of infinite translation surfaces
Mauro Artigiani, Anja Randecker, Chandrika Sadanand +2
We provide a complete classification of groups that can be realized as isometry groups of a translation surface with non-finitely generated fundamental group and no planar ends…
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.GT2025
Lengths of saddle connections on random translation surfaces of large genus
Howard Masur, Kasra Rafi, Anja Randecker
We determine the distribution of the number of saddle connections on a random translation surface of large genus. More specifically, for genus tending to infinity, the number o…