On the volume ratio of projections of convex bodies

We study the volume ratio between projections of two convex bodies. Given a high-dimensional convex body K we show that there is another convex body L such that the volume ratio between any two projections of fixed rank of the bodies K and L is large.

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Detalles Bibliográficos
Autores principales: Pinasco, Damián, Galicer, Daniel, Litvak, Alexander E., Merzbaher, Mariano
Formato: info:eu-repo/semantics/preprint submittedVersion
Lenguaje:Inglés
Publicado: Universidad Torcuato Di Tella 2024
Materias:
Volume Ratio
Mathematics
Convex bodies
Acceso en línea:https://repositorio.utdt.edu/handle/20.500.13098/12737
Aporte de:
Repositorio Digital Universidad Torcuato Di Tella de Universidad Torcuato Di Tella
id I57-R163-20.500.13098-12737
record_format dspace
spelling I57-R163-20.500.13098-127372024-06-01T07:00:14Z On the volume ratio of projections of convex bodies Pinasco, Damián Galicer, Daniel Litvak, Alexander E. Merzbaher, Mariano Volume Ratio Mathematics Convex bodies We study the volume ratio between projections of two convex bodies. Given a high-dimensional convex body K we show that there is another convex body L such that the volume ratio between any two projections of fixed rank of the bodies K and L is large. 2024-05-31T20:35:32Z 2024-05-31T20:35:32Z 2022 info:eu-repo/semantics/preprint info:eu-repo/semantics/submittedVersion https://repositorio.utdt.edu/handle/20.500.13098/12737 eng info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-sa/2.5/ar/ 21 p. application/pdf application/pdf Universidad Torcuato Di Tella
institution Universidad Torcuato Di Tella
institution_str I-57
repository_str R-163
collection Repositorio Digital Universidad Torcuato Di Tella
language Inglés
orig_language_str_mv eng
topic Volume Ratio
Mathematics
Convex bodies
spellingShingle Volume Ratio
Mathematics
Convex bodies
Pinasco, Damián
Galicer, Daniel
Litvak, Alexander E.
Merzbaher, Mariano
On the volume ratio of projections of convex bodies
topic_facet Volume Ratio
Mathematics
Convex bodies
description We study the volume ratio between projections of two convex bodies. Given a high-dimensional convex body K we show that there is another convex body L such that the volume ratio between any two projections of fixed rank of the bodies K and L is large.
format info:eu-repo/semantics/preprint
submittedVersion
author Pinasco, Damián
Galicer, Daniel
Litvak, Alexander E.
Merzbaher, Mariano
author_facet Pinasco, Damián
Galicer, Daniel
Litvak, Alexander E.
Merzbaher, Mariano
author_sort Pinasco, Damián
title On the volume ratio of projections of convex bodies
title_short On the volume ratio of projections of convex bodies
title_full On the volume ratio of projections of convex bodies
title_fullStr On the volume ratio of projections of convex bodies
title_full_unstemmed On the volume ratio of projections of convex bodies
title_sort on the volume ratio of projections of convex bodies
publisher Universidad Torcuato Di Tella
publishDate 2024
url https://repositorio.utdt.edu/handle/20.500.13098/12737
work_keys_str_mv AT pinascodamian onthevolumeratioofprojectionsofconvexbodies
AT galicerdaniel onthevolumeratioofprojectionsofconvexbodies
AT litvakalexandere onthevolumeratioofprojectionsofconvexbodies
AT merzbahermariano onthevolumeratioofprojectionsofconvexbodies
_version_ 1808040685922680832

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