Brown measure of a + c has real analytic density with classified edge singularities and internal zeros under regularity conditions on a and covariance of c, arising as ESD of diagonally deformed random matrices.
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Brown measures of deformed $L^\infty$-valued circular elements
Brown measure of a + c has real analytic density with classified edge singularities and internal zeros under regularity conditions on a and covariance of c, arising as ESD of diagonally deformed random matrices.