High-dimensional limit theorems for random vectors in ℓpn-balls. II

DOI10.1142/S0219199719500731zbMath1475.60061arXiv1906.03599MaRDI QIDQ5152069

Zakhar Kabluchko, Christoph Thäle, Joscha Prochno

Publication date: 18 February 2021

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03599

zbMATH Keywords

stochastic geometrycentral limit theoremlarge deviations principleconvex bodiesmoderate deviations principleasymptotic geometric analysis\( \ell_p^n\)-balls

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Large deviations (60F10) Probabilistic methods in Banach space theory (46B09) Asymptotic theory of convex bodies (52A23)

Related Items (9)

Spectral flatness and the volume of intersections of \(p\)-ellipsoids ⋮ Projections of the uniform distribution on the cube: a large deviation perspective ⋮ Berry–Esseen bounds for random projections of $\ell _p^n$-balls ⋮ Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-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 ⋮ Thin-shell theory for rotationally invariant random simplices ⋮ Limit theorems for random points in a simplex ⋮ Large deviations for uniform projections of $p$-radial distributions on $\ell_p^n$-balls

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