9 citations · 13 across the 8 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
math.DG2026
Complex methods in the asymptotics of Möbius energy integrals of helix curves
Max Lipton
The Möbius energy of a curve is a topic of interest to physical knot theorists, harmonic analysts, and geometric analysts. In particular, there are many open questions regarding th…
math.DG2022
Complex asymptotics of the Möbius energy gradient of symmetric helix pairs
Max Lipton
The Möbius energy is a well-studied knot energy with nice regularity and self-repulsive properties. Stationary curves under the Möbius energy gradient are of significant theoretica…
math.DG2022
Stationary curves under the Möbius-Plateau energy
Max Lipton, Gokul Nair
Plateau problems with elastic boundary energies have been of recent theoretical and applied interest. However, strong assumptions have to be made to avoid self-intersections of the…