1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2024
A piecewise contractive map on triangles
Samuel Everett
We study the dynamics of a piecewise map defined on the set of three pairwise nonparallel, nonconcurrent lines in . The geometric map of study may be analogized to th…
math.DS2021★ 1 cited
Computing Periodic Points on Veech Surfaces
Zawad Chowdhury, Samuel Everett, Sam Freedman +1
A non-square-tiled Veech surface has finitely many periodic points, i.e., points with finite orbit under the affine automorphism group. We present an algorithm that inputs a non-sq…
math.DS2021
Long and Short Periodic Billiard Trajectories in the Regular Pentagon
Samuel Everett, Vanessa Lin, Aidan Mager
In any periodic direction on the regular pentagon billiard table, there exists two combinatorially different billiard paths, with one longer than the other. For each periodic direc…