Stability and Finiteness of Wasserstein Spaces
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917689194184704 |
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| author | Alattar, Mohammad |
| author_facet | Alattar, Mohammad |
| contents | Under Gromov--Hausdorff convergence, and equivariant Gromov--Hausdorff convergence, we prove stability results of Wasserstein spaces over certain classes of singular and non-singular spaces. For example, we obtain an analogue of Perelman's stability theorem on Wasserstein spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_05998 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stability and Finiteness of Wasserstein Spaces Alattar, Mohammad Metric Geometry Differential Geometry 53C23, 53C20, 51K10 Under Gromov--Hausdorff convergence, and equivariant Gromov--Hausdorff convergence, we prove stability results of Wasserstein spaces over certain classes of singular and non-singular spaces. For example, we obtain an analogue of Perelman's stability theorem on Wasserstein spaces. |
| title | Stability and Finiteness of Wasserstein Spaces |
| topic | Metric Geometry Differential Geometry 53C23, 53C20, 51K10 |
| url | https://arxiv.org/abs/2406.05998 |