Tootfinder

Ik verkaste van buiten, 26,8 °C naar binnen 23,6 °C en ben niet van plan vandaag nog naar buiten te gaan. #hitteplan

Benamou-Brenier and Kantorovich are equivalent on sub-Riemannian manifolds with no abnormal geodesics
Giovanna Citti, Mattia Galeotti, Andrea Pinamonti
https://arxiv.org/abs/2507.20959

Benamou-Brenier and Kantorovich are equivalent on sub-Riemannian manifolds with no abnormal geodesics
We prove that the Benamou-Brenier formulation of the Optimal Transport problem and the Kantorovich formulation are equivalent on a sub-Riemannian connected and complete manifold $M$ without boundary and with no abnormal geodesics, when the problems are considered between two measures of compact supports. Furthermore, we prove the existence of a minimizer for the Benamou-Brenier formulation and link it to the optimal transport plan.

Stein's theorem in the upper-half plane and Bergman spaces with weights
Aline Bonami (UO, IDP), Sandrine Grellier (UO, IDP), Beno\^it Sehba
https://arxiv.org/abs/2506.18377

Stein's theorem in the upper-half plane and Bergman spaces with weights
This is a companion paper to our previous one, Avatars of Stein's Theorem in the complex setting. In this previous paper, we gave a sufficient condition for an integrable function in the upper-half plane to have an integrable Bergman projection. Here we push forward methods and establish in particular a converse statement. This naturally leads us to study a family of weighted Bergman spaces for logarithmic weights (1 + ln + (1/___m(z)) + ln + (|z|)) k , which have the same kind of beh…