# Tangent-point energies and ropelength as Gamma-limits of discrete tangent-point energies on biarc curves

@article{Lagemann2022TangentpointEA, title={Tangent-point energies and ropelength as Gamma-limits of discrete tangent-point energies on biarc curves}, author={Anna Lagemann and Heiko von der Mosel}, journal={Advances in Continuous and Discrete Models}, year={2022}, volume={2023} }

Using interpolation with biarc curves we prove Γ-convergence of discretized tangent-point energies to the continuous tangent-point energies in the C1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$C^{1}$\end{document}-topology, as well as to the ropelength functional. As a consequence, discrete almost minimizing…

## One Citation

### Banach gradient flows for various families of knot energies

- Mathematics
- 2022

We establish long-time existence of Banach gradient ﬂows for generalised integral Menger curvatures and tangent-point energies, and for O’Hara’s self-repulsive potentials E α,p . In order to do so,…

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