Pierre LE BRIS

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CONTACT


EDUCATION AND POSITIONS


PREPRINTS AND PUBLICATIONS

Preprints:
  1. Some remarks on the effect of the Random Batch Method on phase transition, with Arnaud Guillin and Pierre Monmarché, 2023. Preprint. (arxiv , HAL). Python codes available here.
  2. HMC and underdamped Langevin united in the unadjusted convex smooth case, with Nicolaï Gouraud, Adrien Majka and Pierre Monmarché, 2023. Preprint. (arxiv)
Publications:
  1. A note on uniform in time mean-field limit in graphs, with Christophe Poquet, ALEA Latin American Journal of Probability and Mathematical Statistics, 2024. article. (Former versions: arxiv)
  2. Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems, with Arnaud Guillin and Pierre Monmarché, Journal of the European Mathematical Society, 2024, pp. 1–28. article. (Former versions: arxiv, HAL)
  3. Small correction: In the change of variable y->x-y, there is no negative sign appearing on pages 7,8,10 and 22. This does not modify further calculations.
  4. Propagation of chaos in mean field networks of FitzHugh-Nagumo neurons, with Laetitia Colombani, Mathematical Neurosciences and Applications, Volume 3, 2023. article. (Former versions: arxiv, HAL)
  5. On systems of particles in singular repulsive interaction in dimension one: log and Riesz gas, with Arnaud Guillin and Pierre Monmarché, Journal de l’École polytechnique — Mathématiques, Tome 10, 2023, pp. 867-916. article. (Former versions: arxiv, HAL)
  6. Convergence rates for the Vlasov-Fokker-Planck equation and uniform in time propagation of chaos in non convex cases, with Arnaud Guillin and Pierre Monmarché, Electronic Journal of Probability, Vol. 27, paper no. 124, 1-44, 2022. article. (Former versions: arxiv, HAL)
In Proceedings:
  1. Recent progress on limit theorems for large stochastic particle systems, with Max Fathi, Angeliki Menegaki, Pierre Monmarché, Julien Reygner, and Milica Tomašević, ESAIM: Proceedings and surveys, December 2023, Vol. 75, p. 2-23. article. (Former versions: HAL)
Thesis:

RECORDED TALKS


TALKS


TEACHING

Acronyms:
TD="Travaux dirigés": tutorials for a class of about 20-30 students.
TP="Travaux pratiques": tutorials in computer programming for a class of about 10-15 students.

In 2021 I gave a very short course for the PDE Working Group of LJLL on coupling methods. You can find here some informal notes.

OTHER SCIENTIFIC ACTIVITIES

Formerly in the organizing committee for the PhD students' working group of the LJLL (GTT).

Organization of a day "On systems of interacting particles" (website) on June 6th 2024.

I have provided reviews for articles submitted to: