2 citations · 2 across the 3 of their papers we have counts for
12 papers
Linear independence of time-frequency translates for ultimately positive functions
Romanos Diogenes Malikiosis, Nikos Poursalidis
We prove that the HRT conjecture holds when the Gabor system consists of a 4-point set in the time-frequency plane and a square-integrable function that is ultimately positive. We…
Principal minors of Fourier matrices of square-free order
Andrei Caragea, Dae Gwan Lee, Romanos Malikiosis +1
Chebotarev's theorem on roots of unity states that all minors of a Fourier matrix are non-zero if and only if the order of the matrix is prime. We establish cases in which all prin…
Linearly-exponential checking is enough for the Lonely Runner Conjecture and some of its variants
Romanos Diogenes Malikiosis, Francisco Santos, Matthias Schymura
Tao (2018) showed that in order to prove the Lonely Runner Conjecture (LRC) up to runners it suffices to consider positive integer velocities in the order of . Us…
A linear programming approach to Fuglede's conjecture in
Romanos Diogenes Malikiosis
We present an approach to Fuglede's conjecture in using linear programming bounds, obtaining the following partial result: if with $p^2-…
Fuglede's conjecture holds for cyclic groups of order
Gergely Kiss, Romanos Diogenes Malikiosis, Gábor Somlai +1
The tile-spectral direction of the discrete Fuglede-conjecture is well-known for cyclic groups of square-free order, initiated by Laba and Meyerowitz, but the spectral-tile directi…
Computing the covering radius of a polytope with an application to lonely runners
Jana Cslovjecsek, Romanos Diogenes Malikiosis, Márton Naszódi +1
We are concerned with the computational problem of determining the covering radius of a rational polytope. This parameter is defined as the minimal dilation factor that is needed f…