2 papers
math.DS2025
Slope gap distribution of the double heptagon and an algorithm for determining winning vectors
Fernando Al Assal, Nada Ali, Uma Arengo +4
In this paper, we study the distribution of renormalized gaps between slopes of saddle connections on translation surfaces. Specifically, we describe a procedure for finding the "w…
math.DG2025
Asymptotically geodesic surfaces
Fernando Al Assal, Ben Lowe
A sequence of distinct closed surfaces in a hyperbolic 3-manifold M is asymptotically geodesic if their principal curvatures tend uniformly to zero. When M has finite volume, we sh…