4 citations · 15 across the 18 of their papers we have counts for
4 papers · 1 filter
Closed geodesics on doubled polygons
Ian Adelstein, Adam Fong
In this paper we study 1/k-geodesics, those closed geodesics that minimize on any subinterval of length , where is the length of the geodesic. We investigate the existence…
Minimizing closed geodesics on polygons and disks
Ian Adelstein, Arthur Azvolinsky, Joshua Hinman +1
In this paper we study 1/k geodesics, those closed geodesics that minimize on all subintervals of length , where is the length of the geodesic. We develop new techniques t…
Minimizing geodesic nets and critical points of distance
Ian M Adelstein
In this paper we establish a relationship between geodesic nets and critical points of the distance function. We bound the number of balanced points for certain minimizing geodesic…
Characterizing Round Spheres Using Half-Geodesics
Ian M Adelstein, Benjamin Schmidt
A half-geodesic is a closed geodesic realizing the distance between any pair of its points. All geodesics in a round sphere are half-geodesics. Conversely, this note establishes th…