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math.PR2024
Propagation of chaos and phase transition in a stochastic model for a social network
Eva Löcherbach, Kádmo Laxa
We consider a model for a social network with N interacting social actors. This model is a system of interacting marked point processes in which each point process indicates the su…
math.PR2024
Strong propagation of chaos for systems of interacting particles with nearly stable jumps
Eva Löcherbach, Dasha Loukianova, Elisa Marini
We consider a system of interacting particles, described by SDEs driven by Poisson random measures, where the coefficients depend on the empirical measure of the system. Every…