Kiyonori Gomi

collaborators

2 papers

math.MG2025

Geometric interpretation of magnitude

Yasuhiko Asao, Kiyonori Gomi

For an $n \times n$ positive definite symmetric matrix $Z$ with $Z_{ii} = 1$ for all $i$ , we show that there exists a set of vectors $V_{Z} \subset R^{n}$ such that the radius $…

math.MG2025

Magnitude and matrix inequalities

Kiyonori Gomi, Mark Meckes

We present several applications of matrix-theoretic inequalities to the magnitude of metric spaces. We first resolve an open problem by showing that the magnitude of any finite met…