Extremal sections and projections of certain convex bodies: a survey
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910799603171328 |
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| author | Nayar, Piotr Tkocz, Tomasz |
| author_facet | Nayar, Piotr Tkocz, Tomasz |
| contents | We survey results concerning sharp estimates on volumes of sections and projections of certain convex bodies, mainly $\ell_p$ balls, by and onto lower dimensional subspaces. This subject emerged from geometry of numbers several decades ago and since then has seen development of a variety of probabilistic and analytic methods, showcased in this survey. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_00885 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Extremal sections and projections of certain convex bodies: a survey Nayar, Piotr Tkocz, Tomasz Functional Analysis Metric Geometry Probability 52A38, 60E15, 42B10 We survey results concerning sharp estimates on volumes of sections and projections of certain convex bodies, mainly $\ell_p$ balls, by and onto lower dimensional subspaces. This subject emerged from geometry of numbers several decades ago and since then has seen development of a variety of probabilistic and analytic methods, showcased in this survey. |
| title | Extremal sections and projections of certain convex bodies: a survey |
| topic | Functional Analysis Metric Geometry Probability 52A38, 60E15, 42B10 |
| url | https://arxiv.org/abs/2210.00885 |