Large scale limits for interacting particle systems with simultaneous jumps in diffusive regime

Autor: Erny, Xavier

Publikováno v: Topologie générale [math.GN]. Université Paris-Saclay, 2021. Français. ⟨NNT : 2021UPASM012⟩
Probabilités [math.PR]. Université Paris-Saclay, 2021. Français. ⟨NNT : 2021UPASM012⟩

We study large scale limits for interacting particle systems. In each model, we consider mean field interacting N-particle systems with stochastic and centred interacting strength of order N^{-1/2}, and we prove the convergence of these systems as N

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::4f7aaa2746ea9e3e15930dfc60ddc5b7
https://theses.hal.science/tel-03284421/document

Systèmes de particules faiblement interagissantes sur graphes

Autor: Coppini, Fabio

Publikováno v: Probability [math.PR]. Université de Paris, 2020. English
Probability [math.PR]. Université de Paris, 2020. English. ⟨NNT : ⟩

In the last twenty years, the modeling of complex systems has become a relevant domain of study, not only in applied sciences, but also among mathematicians. The recent improvements in the understanding of interacting particle systems, as well as the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::e1201a498171fbe44d04fdefba6eefc5
https://tel.archives-ouvertes.fr/tel-02970875/document