Date/heure
18 décembre 2025
10:45 - 11:45
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Michel Davydov
Catégorie d'évènement Séminaire Probabilités et Statistique
Résumé
Many phenomena of interest in various applicative fields (epidemiology, neuroscience,…) can be idealized as interacting particle systems on random graphs. Various approaches have been proposed in recent years to develop tractable approximations of these dynamics that take the graph geometry and particle correlations into account. One of them, introduced by Lacker, Ramanan and Wu, focuses on dynamics on sparse graphs and their local limits. Analogously to mean-field models on complete and dense graphs, it is possible to establish so-called local-field equations on random trees that provide an autonomous description of the neighborhood of the root. In this talk, we will give a general overview of the local-field approach, as well as a recent result of quantitative propagation of chaos in this framework.