Convexity in Bipartite Mean Field models

Abstract In this talk we introduce a new variational approach to a class mean-field models, the so called bipartite spin models. In this framework the set of spins is divided in two groups and the interaction links only spins belonging to different groups. We start with the bipartite Curie-Weiss model showing how this approach leads to two equivalent variational representations of the limiting pressure density of the model.