Distribution of the Diagonal Entries of the Resolvent of a Complex Ginibre Matrix

Pierre Bousseyroux, Jean-Philippe Bouchaud, Marc Potters

The study of eigenvalue distributions in random matrix theory is often conducted by analyzing the resolvent matrix $ \mathbf{G}_{\mathbf{M}}^N(z) = (z \mathbf{1} - \mathbf{M})^{-1}…