A Benamou-Brenier formula for transport distances between stationary random measures
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914670107951104 |
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| author | Huesmann, Martin Müller, Bastian |
| author_facet | Huesmann, Martin Müller, Bastian |
| contents | We derive a Benamou-Brenier type dynamical formulation for the Wasserstein metric $\mathsf W_p$ between stationary random measures recently introduced in [EHJM23]. A key step is a reformulation of the metric $\mathsf W_p$ using Palm probabilities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_04842 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Benamou-Brenier formula for transport distances between stationary random measures Huesmann, Martin Müller, Bastian Probability 60D05, 49Q22 We derive a Benamou-Brenier type dynamical formulation for the Wasserstein metric $\mathsf W_p$ between stationary random measures recently introduced in [EHJM23]. A key step is a reformulation of the metric $\mathsf W_p$ using Palm probabilities. |
| title | A Benamou-Brenier formula for transport distances between stationary random measures |
| topic | Probability 60D05, 49Q22 |
| url | https://arxiv.org/abs/2402.04842 |