Wasserstein spaces
Characterization of measures on the real line that are critically unstable under small shifts (preprint)
Locality of centred tangent cones in the Wasserstein space (preprint)
On the structure of the geometric tangent cone to the Wasserstein space
Hamilton-Jacobi-Bellman equations
Optimal control problems and Hamilton-Jacobi-Bellman equations in some curved metric spaces
A Cauchy-Lipschitz setting for control problems in complete CAT(0) spaces (preprint)
A minimality property of the value function in optimal control on spaces of probability measures
Viscosity solutions of centralized control problems in measure spaces
Master works
Neural networks for first order HJB equations and application to front propagation with obstacle terms
High order numerical methods for Vlasov-Poisson models of plasma sheaths (CEMRACS project)