31 citations · 110 across the 36 of their papers we have counts for
4 papers · 1 filter
Barycenters and a law of large numbers in Gromov hyperbolic spaces
Shin-ichi Ohta
We investigate barycenters of probability measures on Gromov hyperbolic spaces, toward development of convex optimization in this class of metric spaces. We establish a contraction…
Gradient flows in asymmetric metric spaces and applications
Shin-ichi Ohta, Wei Zhao
This paper is devoted to the investigation of gradient flows in asymmetric metric spaces (for example, irreversible Finsler manifolds and Minkowski normed spaces) by means of discr…
Discrete-time gradient flows in Gromov hyperbolic spaces
Shin-ichi Ohta
We investigate fundamental properties of the proximal point algorithm for Lipschitz convex functions on (proper, geodesic) Gromov hyperbolic spaces. We show that the proximal point…
Quantitative estimates for the Bakry-Ledoux isoperimetric inequality. II
Cong Hung Mai, Shin-ichi Ohta
Concerning quantitative isoperimetry for a weighted Riemannian manifold satisfying , we give an -estimate exhibiting that the push-forward of the…