Random points in the unit ball of \(\ell^{ n }_{ p }\)

DOI10.1007/s11117-005-0039-5zbMath1116.15018OpenAlexW2103078728MaRDI QIDQ865009

Guillaume Aubrun

Publication date: 13 February 2007

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-005-0039-5

zbMATH Keywords

random matricesrandom vectors\(\ell^n_p\) spacesuniformly distributed independent rows

Mathematics Subject Classification ID

Random matrices (algebraic aspects) (15B52) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Related Items (11)

The Dirichlet Markov ensemble ⋮ On the empirical spectral distribution for certain models related to sample covariance matrices with different correlations ⋮ Limiting spectral distribution for a type of sample covariance matrices ⋮ Marchenko–Pastur law with relaxed independence conditions ⋮ Limiting spectral distribution of a new random matrix model with dependence across rows and columns ⋮ Sharp bounds on the rate of convergence of the empirical covariance matrix ⋮ Circular law theorem for random Markov matrices ⋮ Aspects of large random Markov kernels ⋮ THE SPECTRUM OF RANDOM KERNEL MATRICES: UNIVERSALITY RESULTS FOR ROUGH AND VARYING KERNELS ⋮ Sampling convex bodies: a random matrix approach ⋮ Distributions of eigenvalues of large Euclidean matrices generated from \(l_p\) balls and spheres

Cites Work

• Limit of the smallest eigenvalue of a large dimensional sample covariance matrix
• A probabilistic approach to the geometry of the \(\ell^n_p\)-ball
• Sampling convex bodies: a random matrix approach
• Unnamed Item

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