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A SPIKY BALL

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Publication:2810744
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DOI10.1112/S0025579315000406zbMath1346.52003arXiv1510.00782OpenAlexW3106393414MaRDI QIDQ2810744

Márton Naszódi

Publication date: 6 June 2016

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00782


zbMATH Keywords

covering numberillumination numberrandom convex body


Mathematics Subject Classification ID

Inequalities and extremum problems involving convexity in convex geometry (52A40) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Random convex sets and integral geometry (aspects of convex geometry) (52A22)


Related Items

On the multiple illumination numbers of convex bodies ⋮ HILBERT TRANSFORMS ALONG LIPSCHITZ DIRECTION FIELDS: A LACUNARY MODEL ⋮ Cube is a strict local maximizer for the illumination number ⋮ On the illumination of centrally symmetric cap bodies in small dimensions ⋮ Illuminating spiky balls and cap bodies



Cites Work

  • Classical topics in discrete geometry
  • Combinatorial problems on the illumination of convex bodies
  • On the vertex index of convex bodies
  • The illumination conjecture and its extensions
  • On the X-ray Number of Almost Smooth Convex Bodies and of Convex Bodies of Constant Width
  • A Remark on Vertex Index of the Convex Bodies
  • Probability and Computing
  • Covering a sphere with spheres
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