Fluctuations for block spin Ising models

DOI10.1214/18-ECP161zbMath1402.60027arXiv1806.06000OpenAlexW2963196827MaRDI QIDQ1800846

Kristina Schubert, Matthias Loewe

Publication date: 24 October 2018

Published in: Electronic Communications in Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06000

zbMATH Keywords

fluctuationscentral limit theoremIsing modelCurie-Weiss modelblock model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Classical equilibrium statistical mechanics (general) (82B05) Exchangeability for stochastic processes (60G09)

Related Items (12)

Multi-group binary choice with social interaction and a random communication structure -- a random graph approach ⋮ Limit theorems for the bipartite Potts model ⋮ Exact recovery in block spin Ising models at the critical line ⋮ Fluctuations in mean-field Ising models ⋮ Propagation of chaos and large deviations in mean-field models with jumps on block-structured networks ⋮ Two groups in a Curie-Weiss model with heterogeneous coupling ⋮ Fluctuation results for general block spin Ising models ⋮ Large deviations, a phase transition, and logarithmic Sobolev inequalities in the block spin Potts model ⋮ Local central limit theorem for multi-group Curie-Weiss models ⋮ Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs ⋮ Limit theorems for multi-group Curie-Weiss models via the method of moments ⋮ Fluctuations of the magnetization in the block Potts model

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