A new look at random projections of the cube and general product measures

DOI10.3150/20-BEJ1303zbMath1473.60063arXiv1910.02676OpenAlexW3161880064MaRDI QIDQ2040109

Christoph Thäle, Zakhar Kabluchko, Joscha Prochno

Publication date: 9 July 2021

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02676

zbMATH Keywords

law of large numbersStiefel manifoldlarge deviationsGaussian random matricescubeHausdorff distancerandom projectionsGaussian projectionshigh-dimensional probability

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Strong limit theorems (60F15) Large deviations (60F10)

Related Items (5)

Limit theorems for the volumes of small codimensional random sections of \(\ell_{p}^{n}\)-balls ⋮ Higher order concentration on Stiefel and Grassmann manifolds ⋮ Large deviation principles induced by the Stiefel manifold, and random multidimensional projections ⋮ Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures ⋮ Thin-shell theory for rotationally invariant random simplices

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