2 citations · 7 across the 10 of their papers we have counts for
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Strong error bounds for the convergence to its mean field limit for systems of interacting neurons in a diffusive scaling
Xavier Erny, Eva Löcherbach, Dasha Loukianova
We consider the stochastic system of interacting neurons introduced in De Masi et al. (2015) and in Fournier and Löcherbach (2016) and then further studied in Erny, Löcherbach and…
Mean field system of a two-layers neural model in a diffusive regime
Xavier Erny
We study a model of interacting neurons. The structure of this neural system is composed of two layers of neurons such that the neurons of the first layer send their spikes to the…
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…
Well-posedness and propagation of chaos for McKean-Vlasov equations with jumps and locally Lipschitz coefficients
Xavier Erny
We study McKean-Vlasov equations where the coefficients are locally Lipschitz continuous. We prove the strong well-posedness and a propagation of chaos property in this framework.…