Averaging Over the Unitarian Group and the Monotonicity Conjecture of Merris and Watkins
arXiv:1109.5472
Abstract
We show that the monotonicity conjecture of Merriss and Watkins is true in average when taking the set of matrices of given non negative spectra as probability space with respect to the Haar measure of the unitarian group .
arXiv comment22 pages 1 figure