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Asymptotic properties of two affine invariants for 1-unconditonal convex bodies

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Publication:3014597
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DOI10.1007/s11741-010-0634-3zbMath1240.52018OpenAlexW1982548155MaRDI QIDQ3014597

Jun Yi, Fusheng Xie, Bin-Wu He

Publication date: 19 July 2011

Published in: Journal of Shanghai University (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11741-010-0634-3


zbMATH Keywords

convex bodyisotropic constantSylvester's problemrandom simplexone-unconditional convex body


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)




Cites Work

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  • A reduction of the slicing problem to finite volume ratio bodies.
  • Extremal problems and isotropic positions of convex bodies
  • A new ellipsoid associated with convex bodies
  • Isotropic bodies and Bourgain's problem
  • Volume of intersections and sections of the unit ball of $\ell ^n_p$
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