Coloquio del Departamento de Matemáticas

16 de octubre de 2025. 11:30 hrs. Auditorio José Adem, Cinvestav-IPN

Próxima conferencia
16 de octubre de 2025. 11:30 hrs. Auditorio José Adem

Unirse a Zoom
ID de la reunión: 842 4807 7033
Contraseña: 889939

Dr. Alberto Domínguez Corella
Universidad de Graz y Universidad Técnica de Viena, Austria

Invariance theory in the space of probability measures and mean-field dynamics

Resumen: This presentation is meant to discuss the invariance theory of dynamical systems in the mean-field limit. It focuses on continuity equations in the space of probability measures, viewed as a pseudo-Riemannian manifold with a metric tensor based on optimal transport. In this context, a set is invariant if, whenever an initial condition belongs to it, the corresponding solution of the continuity equation remains inside it.