most citedDisplacement convexity of generalized relative entropies

4 citations · 4 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2024

Riemannian starshape and capacitary problems

Kazuhiro Ishige, Paolo Salani, Asuka Takatsu

We prove the Riemannian version of a classical Euclidean result: every level set of the capacitary potential of a starshaped ring is starshaped. In the Riemannian setting, we restr…

math.DG2010★ 4 cited

Displacement convexity of generalized relative entropies

Shin-ichi Ohta, Asuka Takatsu

We investigate the -relative entropy, which stems from the Bregman divergence, on weighted Riemannian and Finsler manifolds. We prove that the displacement -convexity of the…