4 papers
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…
The velocity jump Langevin process and its splitting scheme: long time convergence and numerical accuracy
Nicolaï Gouraud, Lucas Journel, Pierre Monmarché
The Langevin dynamics is a diffusion process extensively used, in particular in molecular dynamics simulations, to sample Gibbs measures. Some alternatives based on (piecewise dete…
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…
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…