Polygonal approximation and energy of smooth knots


We establish a fundamental connection between smooth and polygonal knot energies, showing that the Minimum Distance Energy for polygons inscribed in a smooth knot converges to the Möbius Energy of the smooth knot as the polygons converge to the smooth knot. However, the polygons must converge in a “nice” way, and the energies must be correctly regularized… (More)


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@inproceedings{Rawdon2003PolygonalAA, title={Polygonal approximation and energy of smooth knots}, author={Eric J. Rawdon and Jonathan K. Simon}, year={2003} }