A statistical approach to knot confinement via persistent homology

In this paper, we study how randomly generated knots occupy a volume of space using topological methods. To this end, we consider the evolution of the first homology of an immersed metric neighbourhood of a knot's embedding for growing radii. Specifically, we extract features from the persisten...

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Veröffentlicht in:	Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences Mathematical, physical, and engineering sciences, 2022-05, Vol.478 (2261), p.20210709-20210709
Hauptverfasser:	Celoria, Daniele, Mahler, Barbara I
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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