POSITIVE AND NEGATIVE CORRELATIONS FOR CONDITIONAL ISING DISTRIBUTIONS

DOI10.1142/S0129055X02001521zbMath1027.82001OpenAlexW2098520466MaRDI QIDQ4420468

Camillo Cammarota

Publication date: 17 August 2003

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x02001521

zbMATH Keywords

Ising modelnegative correlationcorrelation inequalitypositive correlationcontours configurations

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

An inequality for the Gibbs mean number of clusters

Cites Work

• Correlation inequalities on some partially ordered sets
• Towards a theory of negative dependence
• Bernoulli and Gibbs Probabilities of Subgroups of {0, 1} S

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