7 citations · 15 across the 13 of their papers we have counts for
12 papers · 1 filter
Observable diameters with varying screens
Yu Kitabeppu, Naoto Nishida
In this paper, we obtain the limit formula of the observable diameter with non-Euclidean screen. In order to treat a sequence of observable diameters with varying screens, we defin…
Shannon's inequality on non-collapsing RCD spaces
Yu Kitabeppu
We prove the Shannon's inequality on non-collapsing spaces. In the proof, we use the characterization of the -gradient flow of the relative…
One dimensional RCD spaces always satisfy the regular Weyl's law
Akemi Iwahashi, Yu Kitabeppu, Akari Yonekura
Ambrosio, Honda, and Tewodrose proved that the regular Weyl's law is equivalent to a mild condition related to the infinitesimal behavior of the measure of balls in compact finite…
Cheng maximal diameter theorem for hypergraphs
Yu Kitabeppu, Erina Matsumoto
We prove that Cheng maximal diameter theorem for hypergraphs with positive coarse Ricci curvature.
Coarse Ricci curvature of hypergraphs and its generalization
MasaHiro Ikeda, Yu Kitabeppu, Yuuki Takai +1
In the present paper, we introduce a concept of Ricci curvature on hypergraphs for a nonlinear Laplacian. We prove that our definition of the Ricci curvature is a generalization of…
Distance functions on convex bodies and symplectic toric manifolds
Hajime Fujita, Yu Kitabeppu, Ayato Mitsuishi
In this paper we discuss three distance functions on the set of convex bodies. In particular we study the convergence of Delzant polytopes, which are fundamental objects in symplec…
A sufficient condition to a regular set of positive measure on RCD spaces
Yu Kitabeppu
In this paper, we study regular sets in metric measure spaces with bounded Ricci curvature. We prove that the existence of a point in the regular set of the highest dimension impli…
A Bishop type inequality on metric measure spaces with Ricci curvature bounded below
Yu Kitabeppu
We define a Bishop-type inequality on metric measure spaces with Riemannian curvature-dimension condition. The main result in this short article is that any RCD spaces with the Bis…
Characterization of Low Dimensional spaces
Yu Kitabeppu, Sajjad Lakzian
In this paper, we give the characterization of metric measure spaces that satisfy synthetic lower Riemannian Ricci curvature bounds (so called spaces) with \emph{non-e…
Non-branching RCD(0,N) Geodesic Spaces with Small Linear Diameter Growth Have Finitely Generated Fundamental Groups
Yu Kitabeppu, Sajjad Lakzian
In this paper, we generalize the finite generation result of Sormani to non-branching geodesic spaces (and in particular, Alexandrov spaces) with full support measures.…
Coarse Ricci curvature on the space of probability measures
Yu Kitabeppu
In this paper we study the coarse Ricci curvature on the space of probability measures on a metric space. The infimum of the -coarse Ricci curvature on the -Wasserstein spa…
Lower bound of coarse Ricci curvature on metric measure spaces and eigenvalues of Laplacian
Yu Kitabeppu
We prove that a Bishop-Gromov inequality gives a lower bound of coarse Ricci curvature. We also have an estimate of the eigenvalues of the Laplacian by a lower bound of coarse Ricc…