105 citations · 283 across the 22 of their papers we have counts for
29 papers
Nonparametric estimation of the jump rate in mean field interacting systems of neurons
Aline Duarte, Kadmo Laxa, Eva Löcherbach +1
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…
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…
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…
Mean field limits of interacting particle systems with positive stable jumps
Dasha Loukianova, Eva Löcherbach
This note is a companion article to the recent paper Löcherbach, Loukianova, Marini (2024). We consider mean field systems of interacting particles. Each particle jumps with a jump…
Kalikow decomposition for counting processes with stochastic intensity and application to simulation algorithms
Tien Cuong Phi, Eva Löcherbach, Patricia Reynaud-Bouret
We propose a new Kalikow decomposition for continuous time multivariate counting processes, on potentially infinite networks. We prove the existence of such a decomposition in vari…
White-noise driven conditional McKean-Vlasov limits for systems of particles with simultaneous and random jumps
Xavier Erny, Eva Löcherbach, Dasha Loukianova
We study the convergence of particle systems described by SDEs driven by Brownian motion and Poisson random measure, where the coefficients depend on the empirical measure of t…