Radel Ben Av

activity

20182025

collaborators

3 papers

math.CO2025

Abelian and Dihedral equiangular tight frames of redundancy $2$

Radel Ben Av, Xuemei Chen, Assaf Goldberger +1

This paper studies group frames ( $G$ -frames) where the unitary group representation can be projective. When the group is abelian, for most combinations $N, n$ , we show that $ETF(N,…

math.CO2022

Phase transitions for frame potentials]{Phase transitions for the minimizers of the $p^{t h}$ frame potentials in $R^{2}$

Radel Ben Av, Xuemei Chen, Assaf Goldberger +2

Given $N$ points $X = {x_{k}}_{k = 1}^{N}$ on the unit circle in $R^{2}$ and a number $0 \leq p \leq \infty$ we investigate the minimizers of the functional $\sum_{k, \ell =1}^N |\…

math.MG2018

Energy Minimization in $C P^{n}$ : Some Numerical and Analytical Results

Radel Ben Av, Assaf Goldberger, Giora Dula +1

We study the problem of minimizing the energy function $M^{p} (m, n) := min \sum_{1 \leq i < j \leq m} ∣ ⟨ v_{i}, v_{j} ⟩ ∣^{p}$ , where $v_{i}$ are unit vectors in $F^{n}$ , $F = R$ or…

Abelian and Dihedral equiangular tight frames of redundancy 2

Phase transitions for frame potentials]{Phase transitions for the minimizers of the pth frame potentials in R2

Energy Minimization in CPn: Some Numerical and Analytical Results

Abelian and Dihedral equiangular tight frames of redundancy $2$

Phase transitions for frame potentials]{Phase transitions for the minimizers of the $p^{t h}$ frame potentials in $R^{2}$

Energy Minimization in $C P^{n}$ : Some Numerical and Analytical Results