Experience

 
 
 
 
 
September 2017 – Present
Paris, France

Associate Professor

Sorbonne university

 
 
 
 
 
October 2016 – August 2017
Rennes

Post-doctorant

Inria Rennes- Bretagne Atlantique

Member of the IPSO team
 
 
 
 
 
September 2013 – September 2016
Nice, France

PhD Student

Nice university & Inria Sophia Antipolis Méditerranée

Member of the COFFEE team

Selected Publications

In this paper, we study a model for opinion dynamics where the influence weights of agents evolve in time via an equation which is coupled with the opinions’ evolution. We explore the natural question of the large population limit with two approaches: the now classical mean-field limit and the more recent graph limit. After establishing the existence and uniqueness of solutions to the models that we will consider, we provide a rigorous mathematical justification for taking the graph limit in a general context. Then, establishing the key notion of indistinguishability, which is a necessary framework to consider the mean-field limit, we prove the subordination of the mean-field limit to the graph one in that context. This actually provides an alternative (but weaker) proof for the mean-field limit. We conclude by showing some numerical simulations to illustrate our results.
In Journal of Differential Equations, 2021

We provide a rigorous derivation of the linear Boltzmann equation without cut-off starting from a system of particles interacting via a potential with infinite range as the number of particles N goes to infinity under the Boltzmann-Grad scaling.
The main difficulty in our context is that, due to the infinite range of the potential, a non- integrable singularity appears in the angular collision kernel, making no longer valid the single- use of Lanford’s strategy.
Our proof relies then on a combination of Lanford’s strategy, of tools developed recently by Bodineau, Gallagher and Saint-Raymond to study the collision process, and of new duality arguments to study the additional terms associated to the long-range interaction, leading to some explicit weak estimates.
In Communications in Mathematical Physics, 2017

Recent Publications

More Publications

In this paper, we introduce and analyse numerical schemes for the homogeneous and the kinetic Lévy-Fokker-Planck equation. The …

In this paper, we study a model for opinion dynamics where the influence weights of agents evolve in time via an equation which is …

Recent & Upcoming Talks

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Thesis

Influence du stochastique sur des problématiques de changement d’échelle
Defended on Sept 19, 2016 at the J.A. Dieudonné laboratory in Nice university.

Contact

  • 01 44 27 37 72
  • Campus Jussieu - Bâtiment 16-26 Bureau 301
    15 Rue des Fossés Saint Bernard
    75005 Paris