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math.PR2026
Mean-field limits for stochastic particle systems on dense graphs
Angeliki Koutsimpela, Elena Magnanini
We study stochastic interacting particle systems whose interaction structure is described by dense weighted directed graphs converging to a graphon. In the thermodynamic limit, we…
math.PR2026
ERGMs on block models
Elena Magnanini
We extend the classical edge-triangle Exponential Random Graph Model (ERGM) to an inhomogeneous setting in which vertices carry types determined by an underlying partition. This le…