2025 IHES Summer School – Statistical Aspects of Nonlinear Physics

Collection 2025 IHES Summer School – Statistical Aspects of Nonlinear Physics

Organisateur(s) Julien Barré, Thierry Bodineau, Isabelle Gallagher, François Pétrélis, Alberto Rosso, Laure Saint-Raymond, Grégory Schehr
Date(s) 23/06/2025 - 04/07/2025
URL associée https://indico.math.cnrs.fr/event/12319/
00:00:00 / 00:00:00
9 10

Collective Motions with Congestion (2/3)

De Bertrand Maury

Collective motions commonly refer to swarming phenomena, mimetism tendencies, collaboration behavior … We propose here to adopt a different standpoint, and to consider situations where interactions mainly stem from congestion principles. We shall in particular present some crowd motion models based on the assumption that entities have individual tendencies, which are counteracted by the presence of others, and investigate according to which principles « information » is propagated though the population. We will pay a special attention to models of the gradient flow type, which are built on the assumption that a given population tends to minimize some sort of global dissatisfaction (sum of individual dissatisfactions), together with an additional term which encodes the congestion contraints. We will present in details a microscopic version of this approach, together with macroscopic extensions, based on Optimal transportation principles. We shall also investigate how this framework, that is based on « classical mechanics » principles, and which carries in particular an Action-and-Reaction principle (symmetric interactions), can be distorted to elaborate more realistic interaction models, with asymmetric interactions between individuals.

Informations sur la vidéo

  • Date de captation 26/06/2025
  • Date de publication 26/06/2025
  • Institut IHES
  • Langue Anglais
  • Audience Chercheurs, Doctorants
  • Format MP4

Domaine(s)

Dernières questions liées sur MathOverflow

Pour poser une question, votre compte Carmin.tv doit être connecté à mathoverflow

Poser une question sur MathOverflow




Inscrivez-vous

  • Mettez des vidéos en favori
  • Ajoutez des vidéos à regarder plus tard &
    conservez votre historique de consultation
  • Commentez avec la communauté
    scientifique
  • Recevez des notifications de mise à jour
    de vos sujets favoris
Donner son avis