3 papers
math.DS2026
Billiard Lawn Mowers
Natnaree Sriprasert, Sangsan Warakkagun
We study the Lawn Mowing Problem restricted to periodic billiard paths in the unit square. Given the combinatorial data of a trajectory, we determine the optimal covering radius, a…
math.GT2025
The translation geometry of Pólya's shires
Rikard Bøgvad, Boris Shapiro, Guillaume Tahar +1
In his shire theorem, G. Pólya proves that the zeros of iterated derivatives of a meromorphic function in the complex plane accumulate on the union of edges of the Voronoi diagram…
math.GT2024
The Space of Vectored Hyperbolic Surfaces is Path-Connected
Sangsan Warakkagun
In the space of hyperbolic surfaces decorated with a base unit vector, the topology induced by the Gromov-Hausdorff convergence coincides with the Chabauty topology…