Assaf Goldberger

activity

20152022

most citedFormal Orthogonal Pairs via Monomial Representations and Cohomology

2 citations · 3 across the 5 of their papers we have counts for

collaborators

6 papers

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.FA2021

Towards a classification of incomplete Gabor POVMs in $C^{d}$

Assaf Goldberger, Shujie Kang, Kasso A. Okoudjou

Every (full) finite Gabor system generated by a unit-norm vector $g \in C^{d}$ is a finite unit-norm tight frame (FUNTF), and can thus be associated with a (Gabor) positive o…

math.CO2020★ 2 cited

Formal Orthogonal Pairs via Monomial Representations and Cohomology

Assaf Goldberger, Ilias Kotsireas

A Formal Orthogonal Pair is a pair $(A, B)$ of symbolic rectangular matrices such that $A B^{T} = 0$ . It can be applied for the construction of Hadamard and Weighing matrices. In this pa…

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…

math.CO2015

On the finite geometry of $W (23, 16)$

Assaf Goldberger

We study the local geometry of the zero pattern of a weighing matrix $W (23, 16)$ . The geometry consists of $23$ lines and $23$ points where each line contains $7$ points. The incide…

math.RT2015★ 1 cited

Diagonals of real symmetric matrices of given spectra as a measure space

Avital Frumkin, Assaf Goldberger

The set of diagonals of real symmetric matrices of given non negative spectrum is endowed with a measure which is obtained by the push forward of the Haar measure of the real ortho…

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

Towards a classification of incomplete Gabor POVMs in Cd