Solutions of the variational problem in the Curie-Weiss-Potts model

DOI10.1016/0304-4149(94)90121-XzbMath0796.60027MaRDI QIDQ1327548

Kongming Wang

Publication date: 20 September 1994

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

zbMATH Keywords

variational problemlimit theoremsCurie-Weiss-Potts modelsimultaneous parameter estimation

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Classical equilibrium statistical mechanics (general) (82B05)

Related Items (9)

Stable and metastable phases for the Curie-Weiss-Potts model in vector-valued fields via singularity theory ⋮ Energy landscape of the two-component Curie-Weiss-Potts model with three spins ⋮ Metastability of the three-state Potts model with general interactions ⋮ Bounds on convergence for the empirical vector of the Curie-Weiss-Potts model with a non-zero external field vector ⋮ On rates of convergence in the Curie-Weiss-Potts model with an external field ⋮ Tunneling behavior of Ising and Potts models in the low-temperature regime ⋮ Dynamical Gibbs-non-Gibbs transitions in the Curie-Weiss Potts model in the regime \(\beta<3\) ⋮ Energy landscape and metastability of Curie-Weiss-Potts model ⋮ Tests of homogeneity for spatial populations.

Cites Work

• Limit theorems for the empirical vector of the Curie-Weiss-Potts model
• Limit theorems for maximum likelihood estimators in the Curie-Weiss-Potts model

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