6 citations · 7 across the 4 of their papers we have counts for
4 papers
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.…
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…
Slope Gap Distribution of Saddle Connections on the 2n-gon
Jonah Berman, Taylor McAdam, Ananth Miller-Murthy +2
We explicitly compute the limiting slope gap distribution for saddle connections on any 2n-gon. Our calculations show that the slope gap distribution for a translation surface is n…
Almost-primes in horospherical flows on the space of lattices
Taylor McAdam
We study the asymptotic distribution of almost-prime entries of abelian horospherical flows on Γ\SL(n,R), where Γ is either SL(n,Z) or a cocompact lattice. In the cocompact case, w…