Quantitative homogenization of interacting particle systems | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Quantitative homogenization of interacting particle systems

De Jean-Christophe Mourrat

Apparaît dans la collection : PDE & Probability in interaction: functional inequalities, optimal transport and particle systems / Interactions EDP/Probabilité: inégalités fonctionnelles, transport optimal et systèmes de particules

I will discuss a model of interacting particles in continuous space which is reversible with respect to Poisson point measures with constant density. Similar discrete models are known to ”homogenize”, in the sense that the evolution of the particle density can be approximated by the solution to a partial differential equation over large scales. The goal of the talk is to present some results that make this approximation quantitative. Based on joint works with Arianna Giunti, Chenlin Gu and Maximilian Nitzschner.

Informations sur la vidéo

Date de captation 25/01/2024
Date de publication 14/02/2024
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20129203
Citer cette vidéo Mourrat, Jean-Christophe (25/01/2024). Quantitative homogenization of interacting particle systems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20129203
URL https://dx.doi.org/10.24350/CIRM.V.20129203

Domaine(s)

Probabilités

Bibliographie

GIUNTI, Arianna, GU, Chenlin, et MOURRAT, Jean-Christophe. Quantitative homogenization of interacting particle systems. The Annals of Probability, 2022, vol. 50, no 5, p. 1885-1946. - https://doi.org/10.48550/arXiv.2011.06366

Codes MSC

Dernières questions liées sur MathOverflow

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

Poser une question sur MathOverflow

Copyright Carmin.tv 2024

Donner son avis