Approximations of convex bodies by measure-generated sets

DOI10.1007/s10711-018-0366-xzbMath1416.52003arXiv1706.07112OpenAlexW2963782195WikidataQ129575987 ScholiaQ129575987MaRDI QIDQ2417659

Boaz A. Slomka, Han Huang

Publication date: 12 June 2019

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.07112

zbMATH Keywords

approximationBanach-Mazur distanceconvex bodiescentroid bodiesvertex index

Mathematics Subject Classification ID

Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21) Approximation by convex sets (52A27) Asymptotic theory of convex bodies (52A23)

Related Items

Convex bodies generated by sublinear expectations of random vectors ⋮ Convex floating bodies of equilibrium ⋮ Curvature functionals on convex bodies ⋮ Ulam floating functions ⋮ Ulam floating bodies

Cites Work

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• A hyperplane inequality for measures of convex bodies in \(\mathbb R^{n }, \; n\leq 4\)
• Random approximation and the vertex index of convex bodies
• Partitions of mass-distributions and of convex bodies by hyperplanes
• Concentration of mass on convex bodies
• On weighted covering numbers and the Levi-Hadwiger conjecture
• On nearly radial marginals of high-dimensional probability measures
• Asymmetry of convex polytopes and vertex index of symmetric convex bodies
• The Banach-Mazur distance to the cube and the Dvoretzky-Rogers factorization
• Blaschke-Santaló inequalities
• An isomorphic version of the Busemann-Petty problem for arbitrary measures
• On the vertex index of convex bodies
• Slicing inequalities for measures of convex bodies
• ON THE EXISTENCE OF SUPERGAUSSIAN DIRECTIONS ON CONVEX BODIES
• Research Problems in Discrete Geometry
• Thrifty Approximations of Convex Bodies by Polytopes
• Fine approximation of convex bodies by polytopes
• The convex floating body.
• A Remark on Vertex Index of the Convex Bodies
• Asymptotic Geometric Analysis, Part I

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