Measure comparison problems for dilations of convex bodies
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915158728638464 |
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| author | Lafi, Malak Zvavitch, Artem |
| author_facet | Lafi, Malak Zvavitch, Artem |
| contents | We study a version of the Busemann-Petty problem for $\log$-concave measures with an additional assumption on the dilates of convex, symmetric bodies. One of our main tools is an analog of the classical large deviation principle applied to $\log$-concave measures, depending on the norm of a convex body. We hope this will be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15682 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measure comparison problems for dilations of convex bodies Lafi, Malak Zvavitch, Artem Probability 52A20, 52A21, 46T12, 60F10 We study a version of the Busemann-Petty problem for $\log$-concave measures with an additional assumption on the dilates of convex, symmetric bodies. One of our main tools is an analog of the classical large deviation principle applied to $\log$-concave measures, depending on the norm of a convex body. We hope this will be of independent interest. |
| title | Measure comparison problems for dilations of convex bodies |
| topic | Probability 52A20, 52A21, 46T12, 60F10 |
| url | https://arxiv.org/abs/2403.15682 |