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math.PR2024
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…
math.PR2024
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…
math.PR2024
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…