3 citations · 3 across the 10 of their papers we have counts for
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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…
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…
Convergence of cluster coagulation dynamics
Luisa Andreis, Tejas Iyer, Elena Magnanini
We study hydrodynamic limits of the cluster coagulation model; a coagulation model introduced by Norris [, 209(2):407-435 (2000)]. In this process, pair…
The Erdős-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…
Statistics for the triangle density in ERGM and its mean-field approximation
Elena Magnanini, Giacomo Passuello
We consider the edge-triangle model (or Strauss model), and focus on the asymptotic behavior of the triangle density when the size of the graph increases to infinity. This random g…
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,…
The GHS and other correlation inequalities for the two-star model
Alessandra Bianchi, Francesca Collet, Elena Magnanini
We consider the two-star model, a family of exponential random graphs indexed by two real parameters, and , that rule respectively the total number of edges and the mutual d…
Limit theorems for exponential random graphs
Alessandra Bianchi, Francesca Collet, Elena Magnanini
We consider the edge-triangle model, a two-parameter family of exponential random graphs in which dependence between edges is introduced through triangles. In the so-called replica…
Limit theorems for Lévy flights on a 1D Lévy random medium
Samuele Stivanello, Gianmarco Bet, Alessandra Bianchi +2
We study a random walk on a point process given by an ordered array of points on the real line. The distances are i.i.d. random variabl…