2 papers
math.DS2025
Origami slope gaps and the Hall distribution
Taylor McAdam, Xiaoxing Yu
In this paper we review the theory of slope gap distributions of translation surfaces and summarize the state-of-the-art for calculating slope gap distributions of Veech surfaces.…
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…