18 citations · 18 across the 3 of their papers we have counts for
3 papers
math.CA2024
Optimal planar immersions of prescribed winding number and Arnold invariants
Anna Lagemann, Heiko von der Mosel
Vladimir Arnold defined three invariants for generic planar immersions, i.e. planar curves whose self-intersections are all transverse double points. We use a variational approach…
math.CA2022
Tangent-point energies and ropelength as Gamma-limit of discrete tangent-point energies on biarc curves
Anna Lagemann, Heiko von der Mosel
Using interpolation with biarc curves we prove -convergence of discretized tangent-point energies to the continuous tangent-point energies in the -topology, as well as to t…
math.GT2010★ 18 cited
On sphere-filling ropes
Henryk Gerlach, Heiko von der Mosel
What is the longest rope on the unit sphere? Intuition tells us that the answer to this packing problem depends on the rope's thickness. For a countably infinite number of prescrib…