Work

The distance problem on measured metric spaces

Year: 2025

Type: article

Abstract: What distributions arise as the distribution of the distance between two typical points in some measured metric space? This seems to be a surprisingly subtle problem. We conjecture that every distribution with a density function whose support contains 0 does arise in this way, and give some partial results in that direction.

Source: Annales de la faculté des sciences de Toulouse Mathématiques

DOI: 10.5802/afst.1835

Authors: David Aldous, Guillaume Blanc, Nicolas Curien

Institutions: University of California, Berkeley, École Polytechnique Fédérale de Lausanne, Université Paris-Saclay

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4415736337

FWCI:

Cites: 7

Cited by: 1

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