MathLabs

Yann Brenier

fl. 1957, France

AnalysisApplied and computational mathematicsDifferential equations and dynamical systems

French mathematician who established the polar-factorization approach to optimal transport and its links with fluid mechanics.

Yann Brenier made foundational contributions to optimal transport. His polar factorization theorem decomposes a map into a measure-preserving part and the gradient of a convex function, giving a geometric route to transport maps. His ideas also connect optimal transport with incompressible Euler flows and kinetic equations.

Workplaces: Université Paris-Saclay

France

Contributions, linked to the library