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math.CO2016
Lonely Runner Polyhedra
Matthias Beck, Serkan Hosten, Matthias Schymura
We study the \emph{Lonely Runner Conjecture}, conceived by Jörg M.~Wills in the 1960's: Given positive integers , there exists a positive real number such…
math.MG2016
On densities of lattice arrangements intersecting every i-dimensional affine subspace
Bernardo González Merino, Matthias Henze
In 1978, Makai Jr. established a remarkable connection between the volume-product of a convex body, its maximal lattice packing density and the minimal density of a lattice arrange…