Knot probabilities in equilateral random polygons

DOI10.1088/1751-8121/ac1fc2OpenAlexW3193537747MaRDI QIDQ5877804

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Publication date: 16 February 2023

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

Full work available at URL: https://arxiv.org/abs/2108.07197

zbMATH Keywords

random walksknotspolygonsknotting

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

The second Vassiliev measure of uniform random walks and polygons in confined space

Uses Software

• SciPy
• KnotInfo

Cites Work

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• The symplectic geometry of closed equilateral random walks in 3-space
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• The first 1,701,936 knots
• Knots in random walks
• Generating equilateral random polygons in confinement II
• Probability Theory of Random Polygons from the Quaternionic Viewpoint
• On the universality of knot probability ratios
• Statistical topology of closed curves: Some applications in polymer physics
• A fast direct sampling algorithm for equilateral closed polygons
• The knot probability in lattice polygons
• The growth of the number of prime knots
• Knots in self-avoiding walks
• Asymptotics of knotted lattice polygons
• KNOTTING OF REGULAR POLYGONS IN 3-SPACE
• A Statistical Study of Random Knotting Using the Vassiliev Invariants
• ON RANDOM KNOTS
• Entropic exponents of lattice polygons with specified knot type
• A polynomial time knot polynomial
• The Knotting of Equilateral Polygons in R³

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