3 papers
math.MG2026
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…
math.MG2026
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…
math.MG2024
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…