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- W2955232156 abstract "We study random knotting by considering knot and link diagrams as decorated, (rooted) topological maps on spheres and sampling them with the counting measure on from sets of a fixed number of vertices n. We prove that random rooted knot diagrams are highly composite and hence almost surely knotted (this is the analogue of the Frisch-Wasserman-Delbruck conjecture) and extend this to unrooted knot diagrams by showing that almost all knot diagrams are asymmetric. The model is similar to one of Dunfield, et al." @default.
- W2955232156 created "2019-07-12" @default.
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- W2955232156 date "2020-04-22" @default.
- W2955232156 modified "2023-09-29" @default.
- W2955232156 title "Asymptotic laws for knot diagrams" @default.
- W2955232156 doi "https://doi.org/10.46298/dmtcs.6329" @default.
- W2955232156 hasPublicationYear "2020" @default.
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- W2955232156 hasVolume "DMTCS Proceedings, 28th..." @default.
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