Random Unitary Matrices with Correlated Coefficients by Simon Angoluan ’25
Mon, May 19th, 2025
1:50 pm - 2:50 pm
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Random Unitary Matrices with Correlated Coefficients by Simon Angoluan ’25, Monday May 19, 1:50 – 2:50pm, North Science Building 113, Wachenheim, Mathematics Thesis Defense
Abstract:
We study random CMV matrices, a special class of random unitary matrices that are the unitary analog of Jacobi matrices. We consider random Verblunsky coefficients with dependence structures modeled using various copula functions. We investigate spectral properties of such matrices and connect these results with the joint entropy of their random input.