Convexity properties of sections of 1-symmetric bodies and Rademacher sums
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866910040518033408 |
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| author | Kalarickal, Joseph Rotunno, David Singh, Salil Tkocz, Tomasz |
| author_facet | Kalarickal, Joseph Rotunno, David Singh, Salil Tkocz, Tomasz |
| contents | We establish a monotonicity-type property of volume of central hyperplane sections of the 1-symmetric convex bodies, with applications to chessboard cutting. We parallel this for projections with a new convexity-type property for Rademacher sums. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_13922 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Convexity properties of sections of 1-symmetric bodies and Rademacher sums Kalarickal, Joseph Rotunno, David Singh, Salil Tkocz, Tomasz Metric Geometry We establish a monotonicity-type property of volume of central hyperplane sections of the 1-symmetric convex bodies, with applications to chessboard cutting. We parallel this for projections with a new convexity-type property for Rademacher sums. |
| title | Convexity properties of sections of 1-symmetric bodies and Rademacher sums |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2312.13922 |