Volume 8 (2025)
Gross, Renan
The distance problem via subadditivity
Annales Henri Lebesgue, Volume 8 (2025), pp. 1023-1035

Metadata

DOI10.5802/ahl.254
Keywords Measured metric space ,  trees ,  subadditivity ,  metric preserving function

Abstract

In a recent paper, Aldous, Blanc and Curien asked which distributions can be expressed as the distance between two independent random variables on some separable measured metric space. We show that every nonnegative discrete distribution whose support contains $0$ arises in this way, as well as a class of compactly supported distributions with density.


References

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