TY - JOUR AU - Teresa Dunn AU - Henry Fleischmann AU - Faye Jackson AU - Simran Khunger AU - Steven Miller AU - Luke Reifenberg AU - Alexander Shashkov AU - Stephen Willis PY - 2022/06/08 Y2 - 2024/03/28 TI - Limiting Spectral Distributions of Families of Block Matrix Ensembles JF - The PUMP Journal of Undergraduate Research JA - PUMP J. Undergrad. Res. VL - 5 IS - 0 SE - Articles DO - 10.46787/pump.v5i0.2880 UR - https://journals.calstate.edu/pump/article/view/2880 AB - 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. ER -