2 citations · 2 across the 1 of their papers we have counts for
6 papers
Around the Danzer Problem and the Construction of Dense Forests
Faustin Adiceam
A 1965 problem due to Danzer asks whether there exists a set with finite density in Euclidean space intersecting any convex body of volume one. A suitable weakening of the volume c…
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…
On the -adic Littlewood Conjecture
Faustin Adiceam, Erez Nesharim, Fred Lunnon
The -adic Littlewood Conjecture due to De Mathan and Teulié asserts that for any prime number and any real number , the equation $$\inf_{|m|\ge 1} |m|\cdot |m|_p\cdot |\l…
Open Problems and Conjectures related to the Theory of Mathematical Quasicrystals
Faustin Adiceam
This list of problems arose as a collaborative effort among the participants of the Arbeitsgemeinschaft on Mathematical Quasicrystals, which was held at the Mathematisches Forschun…
Diophantine Approximation and applications in Interference Alignment
Faustin Adiceam, Victor Beresnevich, Jason Levesley +2
This paper is motivated by recent applications of Diophantine approximation in electronics, in particular, in the rapidly developing area of Interference Alignment. Some remarkable…
An Extension of a Theorem of Duffin and Schaeffer in Diophantine Approximation
Faustin Adiceam
Duffin and Schaeffer have generalized the classical theorem of Khintchine in metric Diophantine approximation in the case of any error function under the assumption that all the ra…