2018/09/02 by Ilya Soloveychik, Soloveychik, Ilya, Vahid Tarokh +1
Mathematics · #Advanced Combinatorial Mathematics #Mathematical Dynamics and Fractals #Random Matrices and Applications #math.CO #math.PR
paper · pdf · doi:10.48550/arxiv.1809.00408
arXiv admin note: text overlap with arXiv:1702.04086
arxiv created 2018/10/29 · arxiv updated 2018/10/31
We show that the family of pseudo-random matrices recently discovered by Soloveychik, Xiang, and Tarokh in their work `Symmetric Pseudo-Random Matrices' exhibits asymptotic independence. More specifically, any two sequences of matrices of matching sizes from that construction generated using sequences of different non-reciprocal primitive polynomials are asymptotically independent.