Cargando…

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 persistent hom...

Descripción completa

Detalles Bibliográficos
Autores principales: Celoria, Daniele, Mahler, Barbara I.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9116441/
https://www.ncbi.nlm.nih.gov/pubmed/35645602
http://dx.doi.org/10.1098/rspa.2021.0709