7 citations · 15 across the 13 of their papers we have counts for
13 papers
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…
The rigidity of sharp spectral gap in nonnegatively curved spaces
Christian Ketterer, Yu Kitabeppu, Sajjad Lakzian
We extend the celebrated rigidity of the sharp first spectral gap under to compact infinitesimally Hilbertian spaces with non-negative (weak, also called synthetic) Ricci…
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…