Conformal invariance of dimer heights on isoradial double graphs

DOI10.4171/AIHPD/41zbMath1377.82019arXiv1309.0151OpenAlexW2760470049MaRDI QIDQ2412681

Zhongyang Li

Publication date: 24 October 2017

Published in: Annales de l'Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.0151

zbMATH Keywords

conformal invarianceperfect matchingdimer modelGaussian free fieldisoradial graph

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Conformal mappings of special domains (30C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

Limit shape and height fluctuations of random perfect matchings on square-hexagon lattices ⋮ Dimers and imaginary geometry ⋮ Universality of spin correlations in the Ising model on isoradial graphs ⋮ Asymptotics of pure dimer coverings on rail yard graphs ⋮ Isoradial immersions ⋮ Dimer model and holomorphic functions on t‐embeddings of planar graphs ⋮ The effect of microscopic gap displacement on the correlation of gaps in dimer systems

This page was built for publication: Conformal invariance of dimer heights on isoradial double graphs