On the thin-shell conjecture for the Schatten classes

DOI10.1214/18-AIHP956zbMath1462.52004arXiv1602.06934OpenAlexW3004425522WikidataQ123310441 ScholiaQ123310441MaRDI QIDQ2179233

Beatrice-Helen Vritsiou, Jordan Radke

Publication date: 12 May 2020

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06934

zbMATH Keywords

concentration inequalitiesSchatten-von Neumann classesvariance conjectureisotropic convex body

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Geometric probability and stochastic geometry (60D05) Local theory of Banach spaces (46B07) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items (8)

Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings ⋮ Weighted \(p\)-radial distributions on Euclidean and matrix \(p\)-balls with applications to large deviations ⋮ Sanov-type large deviations in Schatten classes ⋮ Intersection of unit balls in classical matrix ensembles ⋮ Asymptotic estimates for the largest volume ratio of a convex body ⋮ Gelfand numbers of embeddings of Schatten classes ⋮ Exact asymptotic volume and volume ratio of Schatten unit balls ⋮ Asymptotics of the inertia moments and the variance conjecture in Schatten balls

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