Mathematics Faculty Seminar by Prof. Mihai Stoiciu, Friday, February 24

The Eigenvalue Distribution for Random Unitary Matrices: An Approach Using Entropy by Prof. Mihai Stoiciu, Mathematics Faculty Seminar, Friday, February 24, 1 – 1:45 pm, North Science Building 015, Wachenheim.

Abstract:  CMV matrices are the unitary analogues of one-dimensional discrete Schrodinger operators.  Depending on the distribution of their coefficients, random CMV matrices exhibit a transition in their eigenvalue distribution from a Poisson process (no eigenvalue correlation) to “picket fence” (strong eigenvalue repulsion).  We investigate this transition from the perspective of the joint entropy of the coefficients of the random CMV matrix.