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math.PR2026
The particle approximation of quasi-stationary distributions: concentration bounds in the uniform case
Lucas Journel, Mathias Rousset
We study mean-field particle approximations of normalized Feynman-Kac semi-groups, usually called Fleming-Viot or Feynman-Kac particle systems. Assuming various large time stabilit…
math.PR2025
On uniform in time propagation of chaos in metastable cases: the Curie-Weiss model
Lucas Journel, Pierre Le Bris
Many low temperature particle systems in mean-field interaction are ergodic with respect to a unique invariant measure, while their (non-linear) mean-field limit may possess severa…
math.PR2024
Uniform convergence of the Fleming-Viot process in a hard killing metastable case
Lucas Journel, Pierre Monmarché
We study the long-time convergence of a Fleming-Viot process, in the case where the underlying process is a metastable diffusion killed when it reaches some level set. Through a co…