Limit Theorems for Multi-Group Curie-Weiss Models via the Method of Moments

Abstract

We study a multi-group version of the mean-field or Curie-Weiss spin model. For this model, we show how, analogously to the classical (single-group) model, the three temperature regimes are defined. Then we use the method of moments to determine for each regime how the vector of the group magnetisations behaves asymptotically. Some possible applications to social or political sciences are discussed.

References in corpus (1)

• Macroscopic limit of a bipartite Curie-Weiss model: a dynamical approach

Cited by in corpus (2)

• A surrogate by exchangeability approach to the Curie-Weiss model
• Optimal Weights in a Two-Tier Voting System with Mean-Field Voters