Analysis and Geometric Analysis Seminar

Mihai StoiciuWilliams College
The eigenvalue distribution for random unitary matrices: an approach using entropy

Monday, January 30, 2023 - 2:40pm
Malott 406

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.