Fernando Al Assal

collaborators

3 papers

math.GT2025

Limits of asymptotically Fuchsian surfaces in a closed hyperbolic 3-manifold

Fernando Al Assal

Let $M$ be a closed hyperbolic 3-manifold. Let $I^½_{G r (M)}$ denote the probability volume (Haar) measure of the 2-plane Grassmann bundle $G r (M)$ of $M$ and let $I^½_{T}$ denote the ar…

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…