## Speaker:

Mihai Stoiciu

## Institution:

Caltech

## Time:

Thursday, December 9, 2004 - 2:00pm

## Location:

MSTB 254

We consider paraorthogonal polynomials P_n on the unit circle defined by

random recurrence (Verblunsky) coefficients. Their zeros are exactly

the eigenvalues of a special class of random unitary matrices (random CMV

matrices). We prove that the local statistical distribution of these zeros

converges to a Poisson distribution. This means that, for large n, there

is no local correlation between the zeros of the random polynomials P_n.