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Both self-avoidance and self-contact of geometric objects can be modeled using repulsive energies that separate isotopy classes. Giving rise to nonlocal operators, they are interesting objects in their own right. Moreover, their analytical structure allows for devising numerical schemes enjoying robust features such as energy stability. This workshop aimed at discussing recent trends in this matter, including potential applications to modeling.
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Simon Blatt, Philipp Reiter, Armin Schikorra, Mini-Workshop: Nonlocal Analysis and the Geometry of Embeddings. Oberwolfach Rep. 17 (2020), no. 4, pp. 1823–1856DOI 10.4171/OWR/2020/37