An asymptotic thin shell condition and large deviations for random multidimensional projections

DOI10.1016/j.aam.2021.102306zbMath1480.60061arXiv1912.13447OpenAlexW4200138609MaRDI QIDQ2070086

Steven Soojin Kim, Kavita Ramanan, Yin-Ting Liao

Publication date: 21 January 2022

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.13447

zbMATH Keywords

Stiefel manifoldlarge deviationsrate functionGibbs measuresrandom projectionscentral limit theorem for convex setsKLS conjecture\(\ell_p^n\) ballsasymptotic thin shell conditionOrlicz ballsthin shell condition

Mathematics Subject Classification ID

Large deviations (60F10) Asymptotic theory of convex bodies (52A23) Asymptotic theory of Banach spaces (46B06)

Related Items (6)

Sanov-type large deviations and conditional limit theorems for high-dimensional Orlicz balls ⋮ A Maxwell principle for generalized Orlicz balls ⋮ Large deviation principles induced by the Stiefel manifold, and random multidimensional projections ⋮ Geometric sharp large deviations for random projections of \(\ell_p^n\) spheres and balls ⋮ Thin-shell theory for rotationally invariant random simplices ⋮ Large deviations for uniform projections of $p$-radial distributions on $\ell_p^n$-balls

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