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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2201.06859 |
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| _version_ | 1866929674386407424 |
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| author | Di Marino, Simone Lewin, Mathieu Nenna, Luca |
| author_facet | Di Marino, Simone Lewin, Mathieu Nenna, Luca |
| contents | We study a generalization of the multi-marginal optimal transport problem, which has no fixed number of marginals $N$ and is inspired of statistical mechanics. It consists in optimizing a linear combination of the costs for all the possible $N$'s, while fixing a certain linear combination of the corresponding marginals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_06859 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Grand-Canonical Optimal Transport Di Marino, Simone Lewin, Mathieu Nenna, Luca Optimization and Control Statistical Mechanics Mathematical Physics We study a generalization of the multi-marginal optimal transport problem, which has no fixed number of marginals $N$ and is inspired of statistical mechanics. It consists in optimizing a linear combination of the costs for all the possible $N$'s, while fixing a certain linear combination of the corresponding marginals. |
| title | Grand-Canonical Optimal Transport |
| topic | Optimization and Control Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2201.06859 |