The distance problem via subadditivity
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911067297284096 |
|---|---|
| author | Gross, Renan |
| author_facet | Gross, Renan |
| contents | 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 finitely supported distributions with density. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_11445 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The distance problem via subadditivity Gross, Renan Probability Metric Geometry 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 finitely supported distributions with density. |
| title | The distance problem via subadditivity |
| topic | Probability Metric Geometry |
| url | https://arxiv.org/abs/2501.11445 |