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Knot probabilities in random diagrams

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Publication:2832438
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DOI10.1088/1751-8113/49/40/405001zbMath1353.82083arXiv1512.05749OpenAlexW2203567437MaRDI QIDQ2832438

Harrison Chapman, Matt Mastin, Jason Cantarella

Publication date: 11 November 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.05749


zbMATH Keywords

random knotknot diagramknot frequencyknot probability


Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Wild embeddings (57M30)


Related Items (10)

Models of random knots ⋮ Crossing numbers of random two-bridge knots ⋮ A Markov Chain Sampler for Plane Curves ⋮ A lower bound on the average genus of a 2-bridge knot ⋮ Random colorings in manifolds ⋮ Knot fertility and lineage ⋮ Mapping class group orbits of curves with self-intersections ⋮ On the Number of Unknot Diagrams ⋮ Minimal hard surface-unlink and classical unlink diagrams ⋮ Asymptotic laws for random knot diagrams


Uses Software

  • plantri






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