Approximation of stable solutions to second order mean field game systems
Durham Symposium on Mean Field Games
About Me
I am a third year PhD student in the Numerical Analysis and Modelling team at IRMAR. I work on problems related to mean field games and partial differential equations, in particular on networks, and their numerical analysis under the supervision of Olivier Ley and Francisco Silva. I am part of the ANR COSS project.
Interests
- Mean Field Games
- Partial differential equations
- Stochastic processes on networks
- Hamilton-Jacobi equations
Education
-
Master's degree in Fundamental Mathematics
University of Rennes
-
Bachelor's degree in Mathematics
University of Lyon
(Pre-)Publications
(2025).
A nonsmooth extension of the Brezzi-Rappaz-Raviart approximation theorem via metric regularity techniques and applications to nonlinear PDEs.
Preprint.
(2025).
Stationary Mean Field Games on networks with sticky transition conditions.
ESAIM: Control, Optimisation and Calculus of Variations.
(2025).
Approximation and perturbations of stable solutions to a stationary mean field game system.
Journal de Mathématiques Pures et Appliquées.
(2024).
Sticky diffusions on star graphs : characterization and Itô formula.
Preprint.
Talks
Sticky diffusion processes on networks and corresponding Mean Field Games
Séminaire MOD, Limoges
Sticky diffusion processes on networks and corresponding Mean Field Games
Journées de l’ANR COSS, Rennes
Approximation of non-differentiable nonlinear problems
Summer School on Machine Learning and Optimal Control, Poster Session, Gaeta
Approximation of stable solutions to a stationary mean field game system
Journées SMAI MODE, Lyon
Teaching
- Analyse 3 (INSA Rennes) - Exercise Sessions
- Outils d'analyse pour l'ingénieur (INSA Rennes) - Exercise Sessions
Contact