C. Bordenave and D. Chafaï, Lecture notes on the circular law, Modern Aspects of Random Matrix Theory, vol.72, pp.1-34, 2013.
URL : https://hal.archives-ouvertes.fr/hal-01015134

A. Basak, E. Paquette, and O. Zeitouni, Regularization of non-normal matrices by gaussian noise -the banded toeplitz and twisted toeplitz cases. to appear in Forum of Math -Sigma, 2017.

A. Basak, E. Paquette, and O. Zeitouni, Spectrum of random perturbations of toeplitz matrices with finite symbols, 2018.

A. Böttcher and B. Silbermann, Introduction to large truncated Toeplitz matrices, 1999.

E. B. Davies, Non-Self-Adjoint Operators and Pseudospectra, Proc. Symp. Pure Math. Amer. Math. Soc, vol.76, 2007.

E. B. Davies and M. Hager, Perturbations of Jordan matrices, J. Approx. Theory, vol.156, issue.1, pp.82-94, 2009.

M. Embree and L. N. Trefethen, Spectra and Pseudospectra: The Behavior of Nonnormal Matrices and Operators, 2005.

A. Guionnet and P. , Matchett Wood, and 0. Zeitouni. Convergence of the spectral measure of non-normal matrices, Proc. AMS, vol.142, issue.2, pp.667-679, 2014.

M. Hager and J. Sjöstrand, Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators, Mathematische Annalen, vol.342, pp.177-243, 2008.

O. Kallenberg, Foundations of Modern Probability. Probability and its Applications, 1997.

J. Sjöstrand, Counting zeros of holomorphic functions of exponential growth, Journal of pseudodifferential operators and applications, vol.1, issue.1, pp.75-100, 2010.

J. Sjöstrand, Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations, of Pseudo-Differential Operators Theory and Applications. Birkhäuser Basel, vol.14, 2019.

J. Sjöstrand and M. Vogel, Large bi-diagonal matrices and random perturbations, J. of Spectral Theory, vol.6, issue.4, pp.977-1020, 2016.

J. Sjöstrand and M. Zworski, Elementary linear algebra for advanced spectral problems, Annales de l'Institute Fourier, vol.57, pp.2095-2141, 2007.

T. Tao, Topics in Random Matrix Theory, Graduate Studies in Mathematics, vol.132, 2002.

T. Tao, V. Vu, and M. Krishnapur, Random matrices: universality of esds and the circular law, The Annals of Probability, vol.38, pp.2023-2065, 2010.

M. Vogel, The precise shape of the eigenvalue intensity for a class of non-selfadjoint operators under random perturbations

P. M. Wood, Annales de l'Institute Henri Poincare, UMR 5584 du CNRS, 9, avenue Alain Savary -BP 47870 FR-21078 Dijon Cedex, France. Email address: johannes.sjostrand@u-bourgogne.fr (Martin Vogel) Institut de Recherche Mathématique Avancée -UMR 7501 CNRS, vol.52, pp.1877-1896, 2016.