Statistical Mechanics on Isoradial Graphs

DOI10.1007/978-3-642-23811-6_20zbMath1251.82015arXiv1012.2955OpenAlexW1903322845MaRDI QIDQ2903084

Béatrice de Tilière, Cédric Boutillier

Publication date: 23 August 2012

Published in: Probability in Complex Physical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2955

zbMATH Keywords

Ising modelregular graphsrandom walkPotts modelisoradial graphscritical dimer model

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Critical phenomena in equilibrium statistical mechanics (82B27) Random walks on graphs (05C81)

Related Items (9)

Self-duality of the \(6j\)-symbol and Fisher zeros for the tetrahedron ⋮ Weighted graphs, spanning tree generating functions and anisotropic lattice systems: illustrative results for the Ising and dimer models ⋮ Duality between spin networks and the 2D Ising model ⋮ Martin boundary of killed random walks on isoradial graphs ⋮ Inhomogeneous bond percolation on square, triangular and hexagonal lattices ⋮ Universality for bond percolation in two dimensions ⋮ Universality of spin correlations in the Ising model on isoradial graphs ⋮ Isoradial immersions ⋮ Bond percolation on isoradial graphs: criticality and universality

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