On limit theorems for the bivariate (magnetization, energy) variable at the critical point

DOI10.1007/BF01215220zbMath0619.60096OpenAlexW1995660917MaRDI QIDQ1089687

Joël De Coninck

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01215220

zbMATH Keywords

factorization propertycritical point exponent inequalitiesIsing ferromagnetsproduct of two Gaussian probability distributions

Mathematics Subject Classification ID

Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic mechanics (including stochastic electrodynamics) (81P20)

Related Items (5)

The magnetization-energy scaling limit in high dimension ⋮ Limit theorems for the empirical vector of the Curie-Weiss-Potts model ⋮ Limit theorems for maximum likelihood estimators in the Curie-Weiss-Potts model ⋮ A CLT for the total energy of the two-dimensional critical Ising model ⋮ Planar Ising magnetization field. I: Uniqueness of the critical scaling limit

Cites Work

• Unnamed Item
• Critical point inequalities and scaling limits
• A general central limit theorem for FKG systems
• Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
• Scaling limit of the energy variable for the two-dimensional Ising ferromagnet
• Normal fluctuations and the FKG inequalities
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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