Multi-group binary choice with social interaction and a random communication structure -- a random graph approach

DOI10.1016/j.physa.2020.124735OpenAlexW2941111810MaRDI QIDQ2139925

Franck Vermet, Kristina Schubert, Matthias Loewe

Publication date: 20 May 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.11890

zbMATH Keywords

random graphsIsing modellarge deviationsequilibrium statistical mechanicsgraphical modelssocial interactionCurie-Weiss modelblock model

Mathematics Subject Classification ID

Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Large deviations (60F10) Phase transitions (general) in equilibrium statistical mechanics (82B26) General equilibrium theory (91B50) Statistical mechanics, structure of matter (82-XX)

Related Items (7)

Exact recovery in block spin Ising models at the critical line ⋮ Cutoff and dynamical phase transition for the general multi-component Ising model ⋮ 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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