| Issue |
ESAIM: COCV
Volume 32, 2026
|
|
|---|---|---|
| Article Number | 27 | |
| Number of page(s) | 17 | |
| DOI | https://doi.org/10.1051/cocv/2026012 | |
| Published online | 10 April 2026 | |
A uniform rate of convergence for the entropic potentials in the quadratic Euclidean setting
Université Paris Cité & Sorbonne Université, CNRS, Laboratoire Jacques-Louis Lions (LJLL),
F-75013
Paris,
France
* Corresponding author: This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
21
March
2025
Accepted:
5
February
2026
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.
Mathematics Subject Classification: 49Q22 / 35J96
Key words: Optimal transport / entropic optimal transport / Schrödinger bridge
© The authors. Published by EDP Sciences, SMAI 2026
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.