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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…