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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…