Work

Magnitude function determines generic finite metric spaces

Year: 2024

Type: preprint

Abstract: We give sufficient conditions for a finite metric space to be determined by the magnitude function. In particular, a generic finite metric space such that the distances between the points are rationally independent is determined by the asymptotic behavior of the magnitude function.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2401.00786

Author: O'Hara, Jun

Institution: Chiba University

Language: English

Topic: Topological and Geometric Data Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: Energies and residues of manifolds

OpenAlex ID: W4390573019

Cites:

Cited by: 1

Related to: 10