Uniqueness thresholds on trees versus graphs

DOI10.1214/07-AAP508zbMath1214.82021arXiv0704.2916MaRDI QIDQ957524

Allan Sly

Publication date: 27 November 2008

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2916

zbMATH Keywords

uniquenessPotts model

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)

Related Items (1)

Online Edge Coloring via Tree Recurrences and Correlation Decay

Cites Work

• Unnamed Item
• Nonmonotonic behavior in hard-core and Widom-Rowlinson models
• The repulsive lattice gas, the independent-set polynomial, and the Lovász local lemma
• A Personal List of Unsolved Problems Concerning Lattice Gases and Antiferromagnetic Potts Models
• Counting independent sets up to the tree threshold
• Counting without sampling
• Mixing in time and space for lattice spin systems: A combinatorial view

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