Meanders: Exact asymptotics
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Publication:1572530
DOI10.1016/S0550-3213(99)00753-1zbMath0984.82024arXivcond-mat/9910453OpenAlexW2070499316MaRDI QIDQ1572530
O. Golinelli, Philippe Di Francesco, Emmanuel Guitter
Publication date: 12 July 2000
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/9910453
Random graphs (graph-theoretic aspects) (05C80) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)
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Cites Work
- Unnamed Item
- Plane and projective meanders
- A combinatorial matrix in 3-manifold theory
- Meander, folding, and arch statistics
- A scenario for the \(c>1\) barrier in non-critical bosonic strings
- Meanders and the Temperley-Lieb algebra
- Field theory of compact polymers on the square lattice
- Hamiltonian cycles on random Eulerian triangulations
- Fully packed \(O\) \((n=1)\) model on random Eulerian triangulations
- Transition from the compact to the dense phase of two-dimensional polymers
- Hermitian matrix model with plaquette interaction
- Meanders: A direct enumeration approach
- More on the exact solution of the \(O(n)\) model on a random lattice and an investigation of the case \(|n|>2\)
- Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice.
- A branched covering of \(CP^ 2\to S^ 4\), hyperbolicity and projectivity topology
- Fermionic Matrix Models
- Sorting jordan sequences in linear time using level-linked search trees
- A Map-Folding Problem
- Contribution a L'etude Du Probleme Des Timbres Poste
- Strings, matrix models, and meanders
