The probability that a convex body intersects the integer lattice in a \(k\)-dimensional set

DOI10.1007/s00454-011-9389-xzbMath1241.52004OpenAlexW1966450417MaRDI QIDQ664357

Edgardo Roldán-Pensado

Publication date: 1 March 2012

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-011-9389-x

zbMATH Keywords

convex bodieslatticesgeometric probability

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

EXPECTED MEAN WIDTH OF THE RANDOMIZED INTEGER CONVEX HULL

Cites Work

• Covering minima and lattice-point-free convex bodies
• On the Blaschke-Santaló inequality
• The chance that a convex body is lattice-point free: A relative of Buffon's needle problem
• Width-Integrals of Convex Bodies
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