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pro vyhledávání: '"Tsokanos, Ioannis"'
Publikováno v:
Comb. Number Th. 13 (2024) 277-298
The Josephus problem is a well--studied elimination problem consisting in determining the position of the survivor after repeated applications of a deterministic rule removing one person at a time from a given group. A natural probabilistic variant o
Externí odkaz:
http://arxiv.org/abs/2403.18110
Autor:
Tsokanos, Ioannis
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 concerned with the construction of dense forests and is obtained by a
Externí odkaz:
http://arxiv.org/abs/2111.02773
Autor:
Adiceam, Faustin, Tsokanos, Ioannis
Publikováno v:
Moscow J. Comb. Number Th. 11 (2022) 149-159
A spiral in $\mathbb{R}^{d+1}$ is defined as a set of the form $\left\{\sqrt[d+1]{n}\cdot\boldsymbol{u}_n\right\}_{n\ge 1},$ where $\left(\boldsymbol{u}_n\right)_{n\ge 1}$ is a spherical sequence. Such point sets have been extensively studied, in par
Externí odkaz:
http://arxiv.org/abs/2111.01843
Autor:
Tsokanos, Ioannis
In this paper we study the density in the real line of oscillating sequences of the form $$ (g(k)\cdot F(k\alpha))_{k \in \mathbb{N}} ,$$ where $g$ is a positive increasing function and $F$ a real continuous 1-periodic function. This extends work by
Externí odkaz:
http://arxiv.org/abs/2105.09426
Autor:
Adiceam, Faustin, Tsokanos, Ioannis
A Delone set in $\mathbb{R}^n$ 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 distance from any point to the remaining points in the set is uniformly
Externí odkaz:
http://arxiv.org/abs/2010.06428
Akademický článek
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Autor:
Adiceam, Faustin, Tsokanos, Ioannis
Publikováno v:
Functiones et Approximatio Commentarii Mathematici.
A Delone set in $\mathbb{R}^n$ 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 distance from any point to the remaining points in the set is uniformly
Autor:
Tsokanos, Ioannis
Publikováno v:
Uniform Distribution Theory; December 2022, Vol. 17 Issue: 1 p105-130, 26p