Pierre LE BRIS
Currently Postdoc at Institut des Hautes Etudes Scientifiques (IHES) mentored by Thierry BODINEAU.
Before that, I was a PhD student in Applied Mathematics at Laboratoire Jacques-Louis Lions (LJLL), Sorbonne Université, under the joint supervision of Arnaud GUILLIN and Pierre MONMARCHÉ.
Keywords: Probability, System of interacting particles, Mean-field limits.
NEWS: We are organizing a conference "On systems of interacting particles" on June 6th. Do not hesitate to come! You will find all information and details on the website.
CONTACT
Organization: IHES
E-mail: lebris [AT] ihes [DOT] fr
Mail:
Office 1E9
Institut des Hautes Etudes Scientifiques,
35 route de Chartres,
91440 Bures-sur-Yvette,
FRANCE
EDUCATION AND POSITIONS
- 2023-2025: Postdoc (Huawei Young Talents Program) mentored by Thierry BODINEAU at IHES, Bures-sur-Yvette, France.
- 2020-2023: PhD student under the joint supervision of Arnaud GUILLIN and Pierre MONMARCHÉ at LJLL, Sorbonne Université, Paris, France.
- Title: Systems of particles in (singular) interaction: long time behavior and propagation of chaos.
- Defended June 20th, 2023
- Referees: François Delarue, Martin Hairer.
- Jury: Thierry Bodineau, Nicolas Fournier, Sylvia Serfaty, Sylvie Méléard (Committee president).
- 2019-2020: MSc Year 2: Probabilities and Random Models, Sorbonne Université, Paris, France.
- 2016-2020: Ingénieur Polytechnicien Program (Master of Engineering, Science and Technology), École Polytechnique, Palaiseau, France.
PREPRINTS AND PUBLICATIONS
Preprints:
- 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.
- HMC and underdamped Langevin united in the unadjusted convex smooth case, with Nicolaï Gouraud, Adrien Majka and Pierre Monmarché, 2023. Preprint. (arxiv)
Publications:
- A note on uniform in time mean-field limit in graphs, with Christophe Poquet, to appear in ALEA Latin American Journal of Probability and Mathematical Statistics. (arxiv)
- 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)
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.
- 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)
- 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)
- 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:
- 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:
- Systems of particles in (singular) interaction: long time behavior and propagation of chaos, defended June 20th, 2023. (Manuscript).
RECORDED TALKS
- Quelques résultats récents de propagation du chaos et limite de champ moyen, for the Séminaire de Mathématiques Appliquées du Collège de France, June 2nd, 2023 (Paris, France). (Video)
- Proving propagation of chaos and mean-field limits, for the Seed seminar of mathematics and physics, January 17, 2024 (Paris, France). (Video)
TALKS
- 2024:
- Upcoming, 28-30/08 : Journées MAS, parallel session "Functional inequalities" (Poitiers, France).
- Upcoming, 21/03 : Journées Jeunes Edpistes en France (Toulouse, France).
- Séminaire Laurent Schwartz (Bures-sur-Yvette, France).
- Seed seminar of mathematics and physics (Paris, France).
- 2023:
- Workshop Journée équations d'évolution (Bures-sur-Yvette, France)
- Oberwolfach Workshop Classical and Quantum Mechanical Models of Many-Particle Systems (Oberwolfach-Walke, Germany).
- Mean Field Models Summer School (Rennes, France).
- Séminaire de Mathématiques Appliquées du Collège de France (Paris, France).
- Markov Working Group of Jussieu (Paris, France).
- 2022:
- ANR workshop Journées EFI 2022 (Lyon, France).
- Groupe de Travail Modélisation Stochastique of LPSM (Paris, France). (Slides)
- Summer School: Global Sensivivity Analysis and Poincaré inequalities (Toulouse, France).
- 4th Workshop of ANR QuAMProcs (Paris, France). (Slides)
- PhD students' Working Group of LPSM (Paris, France).
- PhD students' Working Group of LJLL (Paris, France).
- 2021:
- ANR workshop Journées EFI 2021 (Paris, France). (Slides)
- 10ième Biennale Française des Mathématiques Appliquées et Industrielles (La Grande Motte, France). (Slides)
- Mini-course for the PDE Working Group of LJLL (Paris, France). (Notes)
TEACHING
- 2020-2023: BSc (Year 3, Sorbonne Université) LU3MA232: Numerical Analysis. TD (24h/year) + TP in Python (12h/year) + Correction.
- 2020-2022: BSc (Year 3, Sorbonne Université) LU3MA290: Probability II. TD (36h/year) + Correction.
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).
I have provided reviews for articles submitted to:
- Annales de l’Institut Henri Poincaré,
- Annals of Applied Probability,
- Journal of Evolution Equations,
- Stochastics and Partial Differential Equations: Analysis and Computations.