Critical Surface of the 1-2 Model

DOI10.1093/imrn/rnx066zbMath1407.82020arXiv1506.08406OpenAlexW2265915609MaRDI QIDQ4619472

Geoffrey R. Grimmett, Zhongyang Li

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08406

zbMATH Keywords

hexagonal latticePfaffian representation

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) Critical phenomena in equilibrium statistical mechanics (82B27)

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Constrained percolation in two dimensions ⋮ Critical surface of the hexagonal polygon model ⋮ Mixing time of Markov chains for the 1-2 model

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