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math.PR2026
Nonparametric estimation of the jump rate in mean field interacting systems of neurons
Aline Duarte, Kadmo Laxa, Eva Löcherbach +2
We consider finite systems of interacting neurons described by non-linear Hawkes processes in a mean field frame. Neurons are described by their membrane potential. They spike…
math.PR2025
Weak conditional 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…
math.PR2025
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…