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

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Quantitative homogenization of interacting particle systems

By Jean-Christophe Mourrat

Appears in 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.

Information about the video

Date of recording 25/01/2024
Date of publication 14/02/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20129203
Cite this video 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

Domain(s)

Probability

Bibliography

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

MSC codes

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