A uniform rate of convergence for the entropic potentials in the quadratic Euclidean setting

ESAIM Control Optimisation and Calculus of Variations 2026 Open access

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Authors: Pablo López-Rivera
DOI: 10.1051/cocv/2026012
Cited by: 0
References: 34

Abstract

We bound the rate of uniform convergence in compact sets for both entropic potentials and their gradients towards the Brenier potential and its gradient, respectively. Both results hold in the quadratic Euclidean setting for absolutely continuous measures satisfying some convexity assumptions.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Mathematical Inequalities and Applications Nonlinear Partial Differential Equations

Publication details

Journal / source
ESAIM Control Optimisation and Calculus of Variations
Volume
32
Pages
27–27
Publication date
1 January 2026
Language
EN