The 1-2 model

DOI10.1090/conm/696/14020zbMath1390.82013arXiv1507.04109OpenAlexW4248335916MaRDI QIDQ4635326

Zhongyang Li, Geoffrey R. Grimmett

Publication date: 16 April 2018

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

Full work available at URL: https://arxiv.org/abs/1507.04109

zbMATH Keywords

percolationphase transitionIsing modelperfect matchingKasteleyn matrix1-2 modelpolygon modeldimers

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (max. 100)

Constrained percolation in two dimensions ⋮ Critical surface of the hexagonal polygon model ⋮ The constrained-degree percolation model ⋮ The 1-2 model ⋮ Weakly constrained-degree percolation on the hypercubic lattice ⋮ Mixing time of Markov chains for the 1-2 model ⋮ Constrained-degree percolation in random environment

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