Louis-Pierre Chaintron

Louis-Pierre Chaintron is a Research Fellow at the École Normale Supérieure de Paris (ENS-PSL), affiliated with the Department of Mathematics and Applications (ENS DMA). His work bridges probability theory, stochastic processes, and applied mathematics, with a focus on constrained measure-valued dynamics, stability analysis, and approximation methods.

• PhD supervised by Julien Reygner (CERMICS) and Philippe Moireau (Inria M3DISIM) from 2022–2024
• Member of the Probability and Statistics research team at ENS DMA
• Teaching roles include assistant for PDE courses and organizer of applied mathematics workshops

Research Interests: His research explores connections between mean-field theory, large deviations, and viscosity solutions for Hamilton-Jacobi equations. He investigates filtering theory in dynamic systems, optimal transport frameworks, and Schrödinger bridge problems for high-dimensional systems. Applications span diffusion models in machine learning, muscle contraction modeling, and non-linear estimation under constraints.

Recent Publications analyze convergence rates in stochastic control, stability of Gibbs principles, and jump-diffusion formalisms for biological systems. His work often combines calculus of variations, stochastic control, and viscosity solutions to address stability and approximation challenges.

Contact:

• Email: lchaintron@dma.ens.fr
• Office: Bureau C11, Espace Cartan, 45 Rue d'Ulm, Paris