KNOTS, SLIPKNOTS, AND EPHEMERAL KNOTS IN RANDOM WALKS AND EQUILATERAL POLYGONS

DOI10.1142/S0218216510008078zbMath1191.57009OpenAlexW2108301135MaRDI QIDQ3566625

Kenneth C. Millett

Publication date: 8 June 2010

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218216510008078

zbMATH Keywords

random walksknotsequilateral polygonsslipknots

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Statistical mechanics of polymers (82D60) Biochemistry, molecular biology (92C40)

Related Items (4)

Statistical topology and knotting of fluctuating filaments ⋮ A Markov Chain Sampler for Plane Curves ⋮ Statics and dynamics of DNA knotting ⋮ Knotoids and protein structure

Cites Work

• Entanglement complexity of lattice ribbons
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• Entanglement complexity of graphs in Z³
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• MINIMAL KNOTTED POLYGONS ON THE CUBIC LATTICE
• ON RANDOM KNOTS
• GEOMETRIC KNOT SPACES AND POLYGONAL ISOTOPY
• What is the length of a knot in a polymer?
• The Knotting of Equilateral Polygons in R³
• Scaling behavior of random knots
• Statistical mechanics with topological constraints: I
• On the Number of Self-Avoiding Walks
• The embedding space of hexagonal knots

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