Assaf Goldberger

activity

20152026

most citedFormal Orthogonal Pairs via Monomial Representations and Cohomology

2 citations · 3 across the 10 of their papers we have counts for

collaborators

10 papers

math.CO2026

Constructing, Classifying and Studying the Space of Small Integer Weighing Matrices

Assaf Goldberger, Radel Ben-Av, Giora Dula +1

Integer weighing matrices (IW-matrices for short) are integer valued orthogonal square matrices. One usecase of these is to create classical weighing matrices with various block st…

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.CO2023

An algorithm for constructing and classifying the space of small integer weighing matrices

Radel Ben-Av, Giora Dula, Assaf Goldberger +1

In this paper we describe an algorithm for generating all the possible $P I W (m, n, k)$ - integer $m \times n$ Weighing matrices of weight $k$ up to Hadamard equivalence. Our method is…

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.GR2019

Cohomology-Developed Matrices -- constructing families of weighing matrices and automorphism actions

Assaf Goldberger

The aim of this work is to construct families of weighing matrices via their automorphism group action. This action is determined from the $0, 1, 2$ -cohomology groups of the underlyi…

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…

Constructing, Classifying and Studying the Space of Small Integer Weighing Matrices

Abelian and Dihedral equiangular tight frames of redundancy 2

An algorithm for constructing and classifying the space of small integer weighing matrices

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

Formal Orthogonal Pairs via Monomial Representations and Cohomology

Cohomology-Developed Matrices -- constructing families of weighing matrices and automorphism actions

Energy Minimization in CPn: Some Numerical and Analytical Results

On the finite geometry of W(23,16)

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

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 $R^{2}$

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

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

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