Limit theorems in the imitative monomer-dimer mean-field model via Stein’s method

DOI10.1063/1.4960673zbMath1348.82016arXiv1506.08484OpenAlexW3101609319MaRDI QIDQ2820919

Wei-Kuo Chen

Publication date: 12 September 2016

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

Full work available at URL: https://arxiv.org/abs/1506.08484

zbMATH Keywords

monomer-dimermean-field modelStein method

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Statistical mechanics of polymers (82D60) 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)

Related Items (3)

Finite-size corrections for the attractive mean-field monomer-dimer model ⋮ Mean-Field Monomer-Dimer Models. A Review ⋮ Cramér-type moderate deviation theorems for nonnormal approximation

Cites Work

• Limit theorems for monomer-dimer mean-field models with attractive potential
• Asymptotics of the mean-field Heisenberg model
• 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
• From Stein identities to moderate deviations
• 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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