6 papers
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…
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…
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…
Gelation in cluster coagulation processes
Luisa Andreis, Tejas Iyer, Elena Magnanini
We consider the problem of gelation in the cluster coagulation model introduced by Norris [\textit{Comm. Math. Phys.}, 209(2):407-435 (2000)], where pairs of clusters of types $(x,…
A standard CLT for triangles in a class of ERGs
Elena Magnanini, Giacomo Passuello
We prove a standard Central Limit Theorem for the (normalized) number of triangles in a class of Exponential Random Graphs derived from a slight modification of the edge-triangle m…
The ErdÅs-Rényi Random Graph Conditioned on Every Component Being a Clique
Martijn Gösgens, Lukas Lüchtrath, Elena Magnanini +2
Motivated by an application in community detection, we consider an \ER random graph conditioned on the rare event that all connected components are fully connected. Such graphs can…