On the Asymptotic Number of Plane Curves and Alternating Knots

DOI10.1080/10586458.2004.10504557zbMath1063.05015arXivmath-ph/0304034OpenAlexW2949925675MaRDI QIDQ4663079

Gilles Schaeffer, Paul Zinn-Justin

Publication date: 30 March 2005

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0304034

zbMATH Keywords

plane curvesplanar mapsAsymptotic enumeration

Mathematics Subject Classification ID

Enumeration in graph theory (05C30) Analogues of general relativity in lower dimensions (83C80) Asymptotic enumeration (05A16)

Related Items (7)

Maps, immersions and permutations ⋮ A random tunnel number one 3-manifold does not fiber over the circle ⋮ Models of random knots ⋮ A Markov Chain Sampler for Plane Curves ⋮ Restricted non-separable planar maps and some pattern avoiding permutations ⋮ Asymptotic expansion of the multi-orientable random tensor model ⋮ Asymptotic laws for random knot diagrams

Cites Work

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• Mersenne twister
• A TRANSFER MATRIX APPROACH TO THE ENUMERATION OF KNOTS
• A TRANSFER MATRIX APPROACH TO THE ENUMERATION OF COLORED LINKS
• A Census of Planar Maps
• Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions

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