Duality and Heat flow
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866915146668965888 |
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| author | Cordero-Erausquin, Dario Gozlan, Nathael Nakamura, Shohei Tsuji, Hiroshi |
| author_facet | Cordero-Erausquin, Dario Gozlan, Nathael Nakamura, Shohei Tsuji, Hiroshi |
| contents | We reveal the relation between the Legendre transform of convex functions and heat flow evolution, and how it applies to the functional Blaschke-Santalo inequality. We also describe local maximizers in this inequality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15357 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Duality and Heat flow Cordero-Erausquin, Dario Gozlan, Nathael Nakamura, Shohei Tsuji, Hiroshi Functional Analysis Metric Geometry Probability We reveal the relation between the Legendre transform of convex functions and heat flow evolution, and how it applies to the functional Blaschke-Santalo inequality. We also describe local maximizers in this inequality. |
| title | Duality and Heat flow |
| topic | Functional Analysis Metric Geometry Probability |
| url | https://arxiv.org/abs/2403.15357 |