Volume Properties of High-Dimensional Orlicz Balls
Publication type: Book Chapter
Publication date: 2023-06-05
SJR: —
CiteScore: 1.6
Impact factor: —
ISSN: 10506977, 22970428
Abstract
We prove asymptotic estimates for the volume of families of Orlicz balls in high dimensions. As an application, we describe a large family of Orlicz balls which verify a famous conjecture of Kannan, Lovász, and Simonovits about spectral gaps. We also study the asymptotic independence of coordinates on uniform random vectors on Orlicz balls, as well as integrability properties of their linear functionals.
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Barthe F., Wolff P. Volume Properties of High-Dimensional Orlicz Balls // Seminar on Stochastic Analysis, Random Fields and Applications VI. 2023. pp. 75-95.
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Barthe F., Wolff P. Volume Properties of High-Dimensional Orlicz Balls // Seminar on Stochastic Analysis, Random Fields and Applications VI. 2023. pp. 75-95.
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TY - GENERIC
DO - 10.1007/978-3-031-26979-0_2
UR - https://doi.org/10.1007/978-3-031-26979-0_2
TI - Volume Properties of High-Dimensional Orlicz Balls
T2 - Seminar on Stochastic Analysis, Random Fields and Applications VI
AU - Barthe, Franck
AU - Wolff, Paweł
PY - 2023
DA - 2023/06/05
PB - Springer Nature
SP - 75-95
SN - 1050-6977
SN - 2297-0428
ER -
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@incollection{2023_Barthe,
author = {Franck Barthe and Paweł Wolff},
title = {Volume Properties of High-Dimensional Orlicz Balls},
publisher = {Springer Nature},
year = {2023},
pages = {75--95},
month = {jun}
}