Intersection of unit balls in classical matrix ensembles

DOI10.1007/s11856-020-2052-6zbMath1450.15029arXiv1804.03466OpenAlexW3081614711MaRDI QIDQ2204403

Joscha Prochno, Christoph Thäle, Zakhar Kabluchko

Publication date: 15 October 2020

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.03466

zbMATH Keywords

weak law of large numbersasymptotic volumeclassical matrix ensemblesintersection of two unit balls

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Random matrices (algebraic aspects) (15B52)

Related Items

Approximation, Gelfand, and Kolmogorov numbers of Schatten class embeddings ⋮ Weighted \(p\)-radial distributions on Euclidean and matrix \(p\)-balls with applications to large deviations ⋮ The maximum entropy principle and volumetric properties of Orlicz balls ⋮ 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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact asymptotic volume and volume ratio of Schatten unit balls
• Concentration of mass on the Schatten classes
• Stability of low-rank matrix recovery and its connections to Banach space geometry
• The isotropy constants of the Schatten classes are bounded
• Asymptotics for orthogonal polynomials
• Projecting the surface measure of the sphere of \({\ell}_p^n\)
• On the thin-shell conjecture for the Schatten classes
• Sanov-type large deviations in Schatten classes
• Entropy numbers of embeddings of Schatten classes
• Vandermonde systems on Gauss-Lobatto Chebyshev nodes
• Random Measures, Theory and Applications
• Extremal Problems for Polynomials with Exponential Weights
• The surface measure and cone measure on the sphere of ℓ_{𝑝}ⁿ
• Concentration phenomena in high dimensional geometry
• On the Volume of the Intersection of Two L n p Balls
• An Introduction to Random Matrices
• Volume of intersections and sections of the unit ball of $\ell ^n_p$
• High-dimensional limit theorems for random vectors in ℓpn-balls
• Le volume des idéaux d'opérateurs classiques
• Asymptotic Geometric Analysis, Part I
• CLT and the volume of intersections of \(\ell_p^n\)-balls

This page was built for publication: Intersection of unit balls in classical matrix ensembles