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Ferromagnetic Ising Model on multiregular random graphs

Ferromagnetic Ising Model on multiregular random graphs

A family of multispecies Ising models on generalized regular random graphs is investigated in the thermodynamic limit. The architecture is specified by class-dependent couplings and magnetic fields. We prove that the magnetizations, neighbours correlations and free energy converge to suitable functions evaluated at the solution of a belief propagation fixed …