3 papers
math.OC2026
Curves of Minimax Curvature
C. Yalçın Kaya, Lyle Noakes, Philip Schrader
We consider the problem of finding curves of minimum pointwise-maximum curvature, i.e., curves of minimax curvature, among planar curves of fixed length with prescribed endpoints a…
math.OC2025
Curves of Minimax Spirality
C. Yalçın Kaya, Lyle Noakes, Philip Schrader
We study the problem of finding curves of minimum pointwise-maximum arc-length derivative of curvature, here simply called curves of minimax spirality, among planar curves of fixed…
math.AP2025
Napoleonic Constructions in the Hyperbolic Plane
Serena Dipierro, Lyle Noakes, Enrico Valdinoci
In the Euclidean setting, Napoleon's Theorem states that if one constructs an equilateral triangle on either the outside or the inside of each side of a given triangle and then con…