The variance conjecture on hyperplane projections of the \(\ell_p^n\) balls

DOI10.4171/RMI/1007zbMath1404.46013arXiv1610.04023OpenAlexW2535347619WikidataQ122959134 ScholiaQ122959134MaRDI QIDQ1645299

David Alonso-Gutiérrez, Jesús Bastero

Publication date: 28 June 2018

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04023

zbMATH Keywords

convex bodiesvariance conjecturehyperplane projectionslog-concave random vectors

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Probabilistic methods in Banach space theory (46B09) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Asymptotic theory of convex bodies (52A23)

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On the thin-shell conjecture for the Schatten classes ⋮ The square negative correlation property on \(\ell_p^n\)-balls ⋮ Embeddings of Orlicz–Lorentz spaces into $L_1$ ⋮ Thin-shell concentration for random vectors in Orlicz balls via moderate deviations and Gibbs measures

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