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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.

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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



  • 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

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