2 papers
math.AP2025
A Priori Log-Concavity Estimates for Dirichlet Eigenfunctions
Gabriel Khan, Soumyajit Saha, Malik Tuerkoen
In this paper, we establish a priori log-concavity estimates for the first Dirichlet eigenfunction of convex domains of a Riemannian manifold. Specifically, we focus on cases where…
math.OC2024
Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps
Sachin Shivakumar, Georgiy A. Bondar, Gabriel Khan +1
For a given ground cost, approximating the Monge optimal transport map that pushes forward a given probability measure onto another has become a staple in several modern machine le…