The chance that a convex body is lattice-point free: A relative of Buffon's needle problem

DOI10.1002/rsa.20138zbMath1141.52020OpenAlexW4245170642MaRDI QIDQ3437024

Imre Bárány

Publication date: 11 May 2007

Published in: Random Structures and Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rsa.20138

zbMATH Keywords

convex bodylattice pointrandom copy

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07)

Related Items (2)

EXPECTED MEAN WIDTH OF THE RANDOMIZED INTEGER CONVEX HULL ⋮ The probability that a convex body intersects the integer lattice in a \(k\)-dimensional set

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