Limiting Spectral Distributions of Families of Block Matrix Ensembles
We introduce a new matrix operation on a pair of matrices, sw(A,X), and discuss its implications on the limiting spectral distribution. In a special case, the resultant ensemble converges almost surely to the Rayleigh distribution. In proving this, we provide a novel combinatorial proof that the random matrix ensemble of circulant Hankel matrices converges almost surely to the Rayleigh distribution, using the method of moments.
Copyright (c) 2022 Teresa Dunn, Henry Fleischmann, Faye Jackson, Simran Khunger, Steven Miller, Luke Reifenberg, Alexander Shashkov, Stephen Willis
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.