On rates of convergence in the Curie-Weiss-Potts model with an external field

DOI10.1214/14-AIHP599zbMath1321.60038arXiv1011.0319OpenAlexW2963495223MaRDI QIDQ2261598

Bastian Martschink, Peter Eichelsbacher

Publication date: 9 March 2015

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0319

zbMATH Keywords

convergence ratesStein's methodcritical temperatureexchangeable pairsCurie-Weiss-Potts model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Universality of the mean-field for the Potts model ⋮ Stein's method for positively associated random variables with applications to the Ising and voter models, bond percolation, and contact process ⋮ Stable and metastable phases for the Curie-Weiss-Potts model in vector-valued fields via singularity theory ⋮ Asymptotics of the mean-field Heisenberg model ⋮ Energy landscape of the two-component Curie-Weiss-Potts model with three spins ⋮ Bounds on convergence for the empirical vector of the Curie-Weiss-Potts model with a non-zero external field vector ⋮ Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field ⋮ Cramér-type moderate deviation of normal approximation for unbounded exchangeable pairs ⋮ Energy landscape and metastability of Curie-Weiss-Potts model

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