On the stability of nonlinear Feynman-Kac semigroups

@article{Moral2002OnTS,
  title={On the stability of nonlinear Feynman-Kac semigroups},
  author={Pierre Del Moral and Laurent Miclo},
  journal={Annales de la Facult{\'e} des Sciences de Toulouse},
  year={2002},
  volume={11},
  pages={135-175}
}
  • P. MoralL. Miclo
  • Published 2002
  • Mathematics
  • Annales de la Faculté des Sciences de Toulouse
On s'interesse aux proprietes de stabilite de certains semi-groupes non-lineaires, de type Feynman-Kac renormalises, agissant sur l'ensemble des probabilites d'un espace mesure donne. Cette etude se base notamment sur l'utilisation du coefficient ergodique de Dobrushin dans l'esprit d'articles precedents de A. Guionnet et de l'un des auteurs. La seconde partie de ce travail porte sur des applications des resultats obtenus. Tout d'abord nous donnons des criteres assurant qu'une particule sous… 
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