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math.AP2026
Spatial Coagulation Systems with Mercer Kernels: Replicator Dynamics and Gelation
Ivan Kryven, Elena Magnanini
We study a spatial version of the Smoluchowski coagulation equation in which particles carry both an integer mass and a spatial location, and coagulate according to a mass-space pr…
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…