A TRANSFER MATRIX APPROACH TO THE ENUMERATION OF KNOTS

DOI10.1142/S0218216502001937zbMath1027.57008arXivmath-ph/0102015OpenAlexW2949828950WikidataQ58082580 ScholiaQ58082580MaRDI QIDQ4414935

Jesper Lykke Jacobsen, Paul Zinn-Justin

Publication date: 10 August 2003

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

Full work available at URL: https://arxiv.org/abs/math-ph/0102015

zbMATH Keywords

transfer matrixalternating knots

Mathematics Subject Classification ID

Related Items (3)

On the Asymptotic Number of Plane Curves and Alternating Knots ⋮ Statistical topology of closed curves: Some applications in polymer physics ⋮ Asymptotic laws for random knot diagrams

Cites Work

• The first 1,701,936 knots
• The rate of growth of the number of prime alternating links and tangles
• Integrable 2D Lorentzian gravity and random walks
• ON THE COUNTING OF COLORED TANGLES
• A Census of Hamiltonian Polygons
• Exact meander asymptotics: a numerical check

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