Preprints

1. A uniform rate of convergence for the entropic potentials in the quadratic Euclidean setting
   [arXiv] [Slides]

1. Stability of Wu's logarithmic Sobolev inequality via the Poisson-Föllmer process (joint with Shrey Aryan and Yair Shenfeld)
   [arXiv] [Slides]

Publications

1. The Poisson transport map (joint with Yair Shenfeld)
   Journal of Functional Analysis (2025)
   [arXiv] [Journal] [Slides]

1. A Bakry-Émery approach to Lipschitz transportation on manifolds
   Potential Analysis (2025)
   [arXiv] [Journal] [Slides]

Theses

1. Processus stochastiques, transport de mesures et inégalités fonctionnelles
   (June 2025)
   PhD in Mathematics, Université Paris Cité
   Advisor: Max Fathi
   [PDF]

1. Entropic optimal transport and convergence of the Schrödinger Potentials
   (September 2022)
   Master 2 Mathématiques et Applications, Sorbonne Université
   Advisor: Max Fathi

1. Potencias de Hadamard del kernel de Green del movimiento browniano con drift en \(\mathbb{R}\)
   (June 2020)
   Magíster en Matemáticas Aplicadas y Diploma de Ingeniero Matemático, Universidad de Chile
   Advisor: Jaime San Martín Aristegui