Banach-Mazur Distances and Projections on Random Subgaussian Polytopes

A Bound on Tail Probabilities for Quadratic Forms in Independent Random Variables

D. L. Hanson, F. T. Wright · The Annals of Mathematical Statistics · 1971 · 349 citations · Full text

Natural Sciences, Literature, Probability Theory +10

Smallest singular value of random matrices and geometry of random polytopes

A.E. Litvak, Alain Pajor, Mark Rudelson et al. · Advances in Mathematics · 2004 · 263 citations

Natural Sciences, Computer Science, Mathematics +13

EXTREMAL PROPERTIES OF ORTHOGONAL PARALLELEPIPEDS AND THEIR APPLICATIONS TO THE GEOMETRY OF BANACH SPACES

E. D. Gluskin · Mathematics of the USSR-Sbornik · 1989 · 149 citations

Natural Sciences, Computer Science, Computational Geometry +6

Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces

Bernd Carl · Annales de l’institut Fourier · 1985 · 147 citations · Full text

Natural Sciences, Mathematics, Mathematical Physics +12

Gelfand numbers of operators with values in a Hilbert space

Bernd Carl, Alain Pajor · Inventiones mathematicae · 1988 · 126 citations

Natural Sciences, Mathematics, Algebra +9