A Personal List of Unsolved Problems Concerning Lattice Gases and Antiferromagnetic Potts Models

zbMath0999.82021arXivcond-mat/0004231MaRDI QIDQ2719831

Alan D. Sokal

Publication date: 4 December 2002

Full work available at URL: https://arxiv.org/abs/cond-mat/0004231

zbMATH Keywords

partition functionunsolved problemsMonte Carlo algorithmscomplex zerosantiferromagnetic Potts modelhardcore lattice gasrecent results\(q\)-coloring model

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to statistical mechanics (82-02) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Coloring of graphs and hypergraphs (05C15)

Related Items (15)

On Vizing's edge colouring question ⋮ On a recolouring version of Hadwiger's conjecture ⋮ Deterministic Polynomial-Time Approximation Algorithms for Partition Functions and Graph Polynomials ⋮ Analyticity for classical gasses via recursion ⋮ Kempe equivalence of colourings of cubic graphs ⋮ On a conjecture of Mohar concerning Kempe equivalence of regular graphs ⋮ Cayley trees do not determine the maximal zero-free locus of the independence polynomial ⋮ Uniqueness thresholds on trees versus graphs ⋮ A little statistical mechanics for the graph theorist ⋮ \(H\)-coloring tori ⋮ On a conjecture of Sokal concerning roots of the independence polynomial ⋮ Kempe equivalence of colourings of cubic graphs ⋮ Rapid mixing for lattice colourings with fewer colours ⋮ Contraction: a unified perspective of correlation decay and zero-freeness of 2-spin systems ⋮ Dobrushin Conditions and Systematic Scan

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