Multi-species mean-field particle systems with quadratic interactions are shown to exhibit phase transitions, with unique or multiple stationary states depending on noise, under a structural assumption that reduces them to a single-species model.
Multi-species mean field spin glasses
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Multi-species McKean-Vlasov dynamics in non-convex landscapes
Multi-species mean-field particle systems with quadratic interactions are shown to exhibit phase transitions, with unique or multiple stationary states depending on noise, under a structural assumption that reduces them to a single-species model.