5 citations · 15 across the 9 of their papers we have counts for
5 papers · 1 filter
Average degree of the essential variety
Paul Breiding, Samantha Fairchild, Pierpaola Santarsiero +1
The essential variety is an algebraic subvariety of dimension in real projective space which encodes the relative pose of two calibrated pinhole camera…
Pairs in discrete lattice orbits with applications to Veech surfaces
Claire Burrin, Samantha Fairchild, Jon Chaika
Let , be two discrete orbits under the linear action of a lattice on the Euclidean plane. We prove a SiegelVeech-type integral formula f…
Crossing the transcendental divide: from translation surfaces to algebraic curves
Türkü Özlüm Çelik, Samantha Fairchild, Yelena Mandelshtam
We study constructing an algebraic curve from a Riemann surface given via a translation surface, which is a collection of finitely many polygons in the plane with sides identified…
Shrinking rates of horizontal gaps for generic translation surfaces
Jon Chaika, Samantha Fairchild
A translation surface is given by polygons in the plane, with sides identified by translations to create a closed Riemann surface with a flat structure away from finitely many sing…
Counting pairs of saddle connections
J. S. Athreya, S. Fairchild, H. Masur
We show that for almost every translation surface the number of pairs of saddle connections with bounded magnitude of the cross product has asymptotic growth like where the…