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math.NT2021
Danzer's Problem, Effective Constructions of Dense Forests and Digital Sequences
Ioannis Tsokanos
A 1965 problem due to Danzer asks whether there exists a set in Euclidean space with finite density intersecting any convex body of volume one. A recent approach to this problem is…
math.NT2021★ 2 cited
Visibility Properties of Spiral Sets
Faustin Adiceam, Ioannis Tsokanos
A spiral in is defined as a set of the form where is a sph…
math.NT2021
Density of Oscillating Sequences in the Real Line
Ioannis Tsokanos
In this paper we study the density in the real line of oscillating sequences of the form where is a positive increasing function and…
math.NT2020
Higher Dimensional Spiral Delone Sets
Faustin Adiceam, Ioannis Tsokanos
A Delone set in is a set such that (a) the distance between any two of its points is uniformly bounded below by a strictly positive constant and such that (b) the di…