Limit theorems for monomer-dimer mean-field models with attractive potential

DOI10.1007/s00220-015-2543-1zbMath1351.82119arXiv1506.04241OpenAlexW1872822630WikidataQ58295667 ScholiaQ58295667MaRDI QIDQ328476

Diego Alberici, Micaela Fedele, Emanuele Mingione, Pierluigi Contucci

Publication date: 20 October 2016

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

Full work available at URL: https://arxiv.org/abs/1506.04241

zbMATH Keywords

central limit theoremmean-field ferromagnetmonomer-dimer mean-field model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistical mechanics of polymers (82D60) Critical phenomena in equilibrium statistical mechanics (82B27) Statistical mechanics of magnetic materials (82D40)

Related Items (6)

Finite-size corrections for the attractive mean-field monomer-dimer model ⋮ Disordered monomer-dimer model on cylinder graphs ⋮ Mean-Field Monomer-Dimer Models. A Review ⋮ Cramér-type moderate deviation theorems for nonnormal approximation ⋮ Two populations mean-fields monomer-dimer model ⋮ Limit theorems in the imitative monomer-dimer mean-field model via Stein’s method

Cites Work

• Central limit theorems, Lee-Yang zeros, and graph-counting polynomials
• Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie-Weiss model
• Stein's method for dependent random variables occuring in statistical mechanics
• A mean-field monomer-dimer model with randomness: exact solution and rigorous results
• Laplace's method for Gaussian integrals with an application to statistical mechanics
• The monomer-dimer problem and moment Lyapunov exponents of homogeneous Gaussian random fields
• Normal families
• Theory of monomer-dimer systems
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• A mean-field monomer-dimer model with attractive interaction: Exact solution and rigorous results

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