RANDOM RIGHT EIGENVALUES OF GAUSSIAN QUATERNIONIC MATRICES
RANDOM RIGHT EIGENVALUES OF GAUSSIAN QUATERNIONIC MATRICES
We consider a random matrix whose entries are independent Gaussian variables taking values in the field of quaternions with variance 1/n. Using logarithmic potential theory, we prove the almost sure convergence, as the dimension n goes to infinity, of the empirical distribution of the right eigenvalues towards some measure supported …