Support convergence in the single ring theorem
نویسندگان
چکیده
In [6], M. Krishnapur and the authors considered the convergence of the empricial measure of (complex) eigenvalues of matrices of the form An = TnUn, where Un is Haar distributed on U(n), the unitary group of n×n matrices, and independent of the self-adjoint matrix Tn (which therefore can be assumed diagonal, with real non-negative entries s i ). That is, with λ (n) i denoting the eigenvalues of An, LAn = n−1 ∑n i=1 δλ(n) i their empirical measure, and with LTn the empirical measure of
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