Stability of polydisc slicing
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866915121023942656 |
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| author | Glover, Nathaniel Tkocz, Tomasz Wyczesany, Katarzyna |
| author_facet | Glover, Nathaniel Tkocz, Tomasz Wyczesany, Katarzyna |
| contents | We prove a dimension-free stability result for polydisc slicing due to Oleszkiewicz and Pelczyński (2000). Intriguingly, compared to the real case, there is an additional asymptotic maximiser. In addition to Fourier-analytic bounds, we crucially rely on a self-improving feature of polydisc slicing, established via probabilistic arguments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_16896 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Stability of polydisc slicing Glover, Nathaniel Tkocz, Tomasz Wyczesany, Katarzyna Metric Geometry Functional Analysis Probability Primary: 52A20, 52A40. Secondary: 30L15, 46B07 We prove a dimension-free stability result for polydisc slicing due to Oleszkiewicz and Pelczyński (2000). Intriguingly, compared to the real case, there is an additional asymptotic maximiser. In addition to Fourier-analytic bounds, we crucially rely on a self-improving feature of polydisc slicing, established via probabilistic arguments. |
| title | Stability of polydisc slicing |
| topic | Metric Geometry Functional Analysis Probability Primary: 52A20, 52A40. Secondary: 30L15, 46B07 |
| url | https://arxiv.org/abs/2303.16896 |