On the Gaussian fluctuations of the critical Curie-Weiss model in statistical mechanics

DOI10.1007/BF00333150zbMath0684.60080MaRDI QIDQ1825538

F. Papangelou

Publication date: 1989

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

zbMATH Keywords

Curie-Weiss modelinternal fluctuations of the critical modellarge subsystemssecond order fluctuations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (13)

Critical fluctuations of sums of weakly dependent random vectors ⋮ Statistical mechanical systems on complete graphs, infinite exchangeability, finite extensions and a discrete finite moment problem ⋮ Generalized Divide and Color models ⋮ Gaussian, non-Gaussian critical fluctuations in the Curie-Weiss model ⋮ Algebraic structure of \(k\)-mode fluctuations ⋮ The infinite extendibility problem for exchangeable real-valued random vectors ⋮ Large deviations and the internal fluctuations of critical mean field systems ⋮ Limit theorems for maximum likelihood estimators in the Curie-Weiss-Potts model ⋮ Identifying the limiting distribution by a general approach of Stein's method ⋮ Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie-Weiss model ⋮ Dynamics of quantum fluctuations in an anharmonic crystal model ⋮ Critical fluctuations for quantum mean-field models ⋮ Statistics of the two star ERGM

Cites Work

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• Nucleation for a long range magnetic model
• Limit theorems in the area of large deviations for some dependent random variables
• Symmetry breaking and random waves for magnetic systems on a circle
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Limit theorems for sums of dependent random variables occurring in statistical mechanics

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