4 papers · 1 filter
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…
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…
Flip graph and arc complex finite rigidity
Chandrika Sadanand, Emily Shinkle
A subcomplex of a cell complex is called \emph{rigid} with respect to another cell complex if every injective simplicial map $λ:\mathcal{…
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…