The maximum entropy principle and volumetric properties of Orlicz balls

DOI10.1016/j.jmaa.2020.124687zbMath1475.46007arXiv2007.05247OpenAlexW3093189616MaRDI QIDQ1995746

Joscha Prochno, Zakhar Kabluchko

Publication date: 25 February 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05247

zbMATH Keywords

Orlicz spacesmaximum entropy principlecentral limit theoremvolume ratioGibbs measuressharp large deviationsthreshold phenomenon

Mathematics Subject Classification ID

Large deviations (60F10) Probabilistic methods in Banach space theory (46B09) Banach sequence spaces (46B45) Asymptotic theory of convex bodies (52A23) Asymptotic theory of Banach spaces (46B06)

Related Items (8)

Spectral flatness and the volume of intersections of \(p\)-ellipsoids ⋮ Volumes of \(s\)-Orlicz convex simplices and geometric inequalities in higher dimensional spaces ⋮ Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls ⋮ A Maxwell principle for generalized Orlicz balls ⋮ Volume properties of high-dimensional Orlicz balls ⋮ Sharp asymptotics for \(q\)-norms of random vectors in high-dimensional \(\ell_p^n\)-balls ⋮ Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures ⋮ An asymptotic thin shell condition and large deviations for random multidimensional projections

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