21 citations · 27 across the 2 of their papers we have counts for
2 papers
math.MG2008★ 6 cited
Cone structure of -Wasserstein spaces
Asuka Takatsu, Takumi Yokota
The purpose of this paper is to understand the geometric structure of the -Wasserstein space $\pp$ over the Euclidean space.For this sake, we focus on its cone structure.One o…
math.DG2008★ 21 cited
On Wasserstein geometry of the space of Gaussian measures
Asuka Takatsu
The space of Gaussian measures on a Euclidean space is geodesically convex in the -Wasserstein space. This space is a finite dimensional manifold since Gaussian measures are p…