Spectral Statistics of Permutation Matrices
Uzy Smilansky, Weizmann Institute of Science, Rehovot
I shall present some new results obtained with Idan Oren on the spectral statistics of permutation matrices of large order. They show curious features which can be explained using classical number theory, modified slightly to be useful for the present application. Our result are consistent with the known leading order asymptotic expressions, and add to them the next to leading order corrections.