Webpage of R.L.

I am Maître de Conférences (~ associate professor) at Université Paris 1 Panthéon-Sorbonne, at the SAMM lab since September ’25. Before that, I was a postdoctoral fellow at École des ponts et chaussées working with Virginie Ehrlacher, Tony Lelièvre, and Julien Reygner. I completed my PhD at Université Paris-Dauphine under the supervision of Mathieu Lewin.

You can contact me at firstname.name@univ-paris1.fr.

Research interests

Theory and numerics of optimal transport, notably its multimarginal extension as it appears in density functional theory in quantum chemistry;
Study of classical (and continuous) statistical physics systems such as Coulomb and Riesz gases, with a particular focus on the existence of the thermodynamic limit and phase transitions;
Model order reduction techniques for high-dimensional stochastic differential equations and Wasserstein gradient flows on manifolds.

Publications

[1]

R. Lelotte, Asymptotic of the Kantorovich potential for the optimal transport with Coulomb cost, (2022). https://doi.org/10.48550/arXiv.2210.07830.

[2]

R. Lelotte, Phase transitions in one-dimensional Riesz gases with long-range interaction, (2023). https://doi.org/10.48550/arXiv.2309.08951.

[3]

R. Lelotte, An external dual charge approach to the multimarginal optimal transport with coulomb cost, ESAIM: COCV. (2024). https://doi.org/10.1051/cocv/2024017.