Propagation of weak log-concavity along generalised heat flows via Hamilton-Jacobi equations
with Louis-Pierre Chaintron and Giovanni Conforti, arXiv
A coupling approach to Lipschitz transport maps
with Giovanni Conforti, arXiv
The exponential turnpike phenomenon for mean field game systems: weakly monotone drifts and small interactions
with Alekos Cecchin, Giovanni Conforti and Alain Durmus, arXiv
Wasserstein medians: Robustness, PDE characterization, and numerics
with Guillaume Carlier and Enis Chenchene in SIAM Journal on Mathematical Analysis, 2024, journal link, arXiv
Monge–Kantorovich interpolation with constraints and application to a parking problem
with Guillaume Carlier and Giuseppe Buttazzo in Interfaces and Free Boundaries, 2024, journal link, arXiv
Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh–Nagumo equations
with Manuel V. Gnann and Christian Kuehn in Annals of Applied Probability, 2022, journal link, arXiv
Entropic-Wasserstein Barycenters: PDE Characterization, Regularity, and CLT
with Guillaume Carlier and Alexey Kroshnin in SIAM Journal on Mathematical Analysis, 2021, journal link, arXiv
Sample Paths Estimates for Stochastic Fast-Slow Systems Driven by Fractional Brownian Motion
with Christian Kuehn and Alexandra Neamţu in Journal of Statistical Physics, 2020, journal link, arXiv
My PhD thesis Variational problems for interpolation in the Wasserstein space can be found here.