6 citations · 10 across the 3 of their papers we have counts for
3 papers
math.PR2022★ 4 cited
Propagation of chaos in mean field networks of FitzHugh-Nagumo neurons
Laetitia Colombani, Pierre Le Bris
In this article, we are interested in the behavior of a fully connected network of neurons, where tends to infinity. We assume that the neurons follow the stochastic FitzHu…
math.PR2022★ 6 cited
HMC and underdamped Langevin united in the unadjusted convex smooth case
Nicolaï Gouraud, Pierre Le Bris, Adrien Majka +1
We consider a family of unadjusted generalized HMC samplers, which includes standard position HMC samplers and discretizations of the underdamped Langevin process. A detailed analy…
math.PR2021
Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems
Arnaud Guillin, Pierre Le Bris, Pierre Monmarché
In this article, we adapt the work of Jabin and Wang (2018) to show the first result of uniform in time propagation of chaos for a class of singular interaction kernels. In particu…