11 citations · 17 across the 6 of their papers we have counts for
6 papers
Stability of Synthetic Ricci Curvature Lower Bounds for Inverse Limit Extended Metric Measure Spaces
Kohei Suzuki, Takumi Yokota
We show that every Polish extended metric measure space arises as an inverse limit of metric measure spaces up to isomorphism. We then prove that synthetic Ricci curvature lower bo…
Boundedness of measured Gromov-Hausdorff precompact sets of metric measure spaces in pyramids
Daisuke Kazukawa, Takumi Yokota
We prove that any measured Gromov-Hausdorff precompact set of metric measure spaces which is contained in a certain set, called a pyramid, is bounded by some metric measure space w…
Boundedness of precompact sets of metric measure spaces
Daisuke Kazukawa, Takumi Yokota
We give a detailed proof to Gromov's statement that precompact sets of metric measure spaces are bounded with respect to the box distance and the Lipschitz order.
On the asymptotic reduced volume of the Ricci flow
Takumi Yokota
In this paper, we consider two different monotone quantities defined for the Ricci flow and show that their asymptotic limits coincide for any ancient solutions. One of the quantit…
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…
Perelman's reduced volume and a gap theorem for the Ricci flow
Takumi Yokota
In this paper, we show that any ancient solution to the Ricci flow with the reduced volume whose asymptotic limit is sufficiently close to that of the Gaussian soliton is isometric…