Kesten-McKay law for random subensembles of Paley equiangular tight frames
Information Theory
2019-05-14 v1 Combinatorics
math.IT
Probability
Abstract
We apply the method of moments to prove a recent conjecture of Haikin, Zamir and Gavish (2017) concerning the distribution of the singular values of random subensembles of Paley equiangular tight frames. Our analysis applies more generally to real equiangular tight frames of redundancy 2, and we suspect similar ideas will eventually produce more general results for arbitrary choices of redundancy.
Keywords
Cite
@article{arxiv.1905.04360,
title = {Kesten-McKay law for random subensembles of Paley equiangular tight frames},
author = {Mark Magsino and Dustin G. Mixon and Hans Parshall},
journal= {arXiv preprint arXiv:1905.04360},
year = {2019}
}