摘要

We compute the limiting statistical distribution of the eigenvalues of sequences of matrices whose entries satisfy what we call a vanishing mean variation condition and are -distributed for some probability measure. As an application of our results, we extend the well-known class of Kac-Murdock-SzegA generalized Toeplitz matrices to sequences of matrices whose diagonal entries are modeled by Riemann integrable functions.

  • 出版日期2017-2