Euler-Poincaré characteristic and phase transition in the Potts model on \(\mathbb{Z}^2\)

DOI10.1016/S0550-3213(02)00681-8zbMath0999.82010arXivcond-mat/0112482OpenAlexW2041232384WikidataQ105583350 ScholiaQ105583350MaRDI QIDQ1847760

Philippe Blanchard, Santo Fortunato, Daniel Gandolfo

Publication date: 23 October 2002

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0112482

zbMATH Keywords

critical behaviourrandom statistical-mechanical systems

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) 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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Cites Work

• Interfaces in the Potts model. I: Pirogov-Sinai theory of the Fortuin- Kasteleyn representation
• Euler characteristic and related measures for random geometric sets
• Random-cluster representation of the Ashkin-Teller model
• Euler characteristic in percolation theory.
• Percolation
• Local Properties of Binary Images in Two Dimensions
• Effective \(Z(2)\) spin models of deconfinement and percolation in SU(2) gauge theory
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