A Complete Proof of the Limit Formula for Observable Diameter
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911952624680960 |
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| author | Yokota, Shigeaki |
| author_facet | Yokota, Shigeaki |
| contents | Ozawa and Shioya proposed the limit formula for observable diameters of pyramids under weak convergence. However, we find a constructive counterexample to an inequality used in their proof. In this paper, we correct the inequality and verify the limit formula. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08122 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Complete Proof of the Limit Formula for Observable Diameter Yokota, Shigeaki Metric Geometry Probability 53C23 (Primary) Ozawa and Shioya proposed the limit formula for observable diameters of pyramids under weak convergence. However, we find a constructive counterexample to an inequality used in their proof. In this paper, we correct the inequality and verify the limit formula. |
| title | A Complete Proof of the Limit Formula for Observable Diameter |
| topic | Metric Geometry Probability 53C23 (Primary) |
| url | https://arxiv.org/abs/2407.08122 |