. Emp_quadratic=, %E_{-+} 11 ImDergXp=[0]; %Img'(x_+) ImDergXm=[0]

. Firstdensterm=, Weyl law SecDensTerm=[0]; %Second Density term 15 Density=[0]; %Density ID=[0]; %Integrated Density 17 %semiclassical parameter k=1, pp.2-10

M. Aizenman and S. Molchanov, Localization at large disorder and at extreme energies: An elementary derivations, Communications in Mathematical Physics, vol.44, issue.2, pp.245-278, 1993.
DOI : 10.1007/BF02099760

M. Aizenman, J. H. Schenker, R. M. Friedrich, and D. Hundertmark, Finite-Volume Fractional-Moment Criteria??for Anderson Localization, Communications in Mathematical Physics, vol.224, issue.1, pp.219-253, 2001.
DOI : 10.1007/s002200100441

P. W. Anderson, Absence of Diffusion in Certain Random Lattices, Physical Review, vol.109, issue.5, pp.1492-1505, 1958.
DOI : 10.1103/PhysRev.109.1492

W. Bordeaux-montrieux, Loi de Weyl presque sûre et résolvent pour des opérateurs différentiels non-autoadjoints, Thése, pastel.archives-ouvertes.fr/docs/00, 2008.

N. Burq, D??croissance de l'??nergie locale de l'??quation des ondes pour le probl??me ext??rieur et absence de r??sonance au voisinage du r??el, Acta Mathematica, vol.180, issue.1, pp.1-29, 1998.
DOI : 10.1007/BF02392877

R. Carmona and J. Lacroix, Spectral Theory of Random Schrödinger Operators, Probability and its Applications, 1990.

J. M. Combes, F. Germinet, and A. Klein, Generalized Eigenvalue-Counting Estimates for??the??Anderson Model, Journal of Statistical Physics, vol.44, issue.4, pp.201-216, 2009.
DOI : 10.1007/s10955-009-9731-3
URL : https://hal.archives-ouvertes.fr/hal-00284895

D. J. Daley, D. Vere, and -. , An Introduction to the Theory of Point Processes, vol. I-II, 2008.

E. B. Davies, Pseudospectra of Differential Operators, J. Oper. Th, vol.43, pp.243-262, 1997.

E. B. Davies, Pseudo-spectra, the harmonic oscillator and complex resonances, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.455, issue.1982, pp.585-599, 1982.
DOI : 10.1098/rspa.1999.0325

E. B. Davies and M. Hager, Perturbations of Jordan matrices, Journal of Approximation Theory, vol.156, issue.1, pp.82-94, 2009.
DOI : 10.1016/j.jat.2008.04.021

N. Dencker, J. Sjöstrand, and M. Zworski, Pseudospectra of semiclassical (pseudo-) differential operators, Communications on Pure and Applied Mathematics, vol.229, issue.2, pp.384-415, 2004.
DOI : 10.1002/cpa.20004

M. Dimassi and J. Sjöstrand, Spectral Asymptotics in the Semi-Classical Limit, 1999.
DOI : 10.1017/CBO9780511662195

J. J. Duistermaat and J. Sjöstrand, A global construction for pseudo-differential operators with non-involutive characteristics, Inventiones Mathematicae, vol.24, issue.120, pp.209-225, 1973.
DOI : 10.1007/BF01394095

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

L. C. Evans, Partial Differential Equations, Graduate Sudies in Mathematics, vol.19, 1998.

A. Figotin and L. Pastur, Spectra of Random and Almost-Periodic Operators, Grundlehren der mathematischen Wissenschaften, 1992.

D. Fotiadi, M. Froissart, J. Lascoux, and F. Pham, Applications of an isotopy theorem, Topology, vol.4, issue.2, pp.159-191, 1965.
DOI : 10.1016/0040-9383(65)90063-7

J. Galkowski, Nonlinear Instability in a Semiclassical Problem, Communications in Mathematical Physics, vol.129, issue.3, pp.705-722, 2012.
DOI : 10.1007/s00220-012-1598-5

F. Germinet and A. Klein, Bootstrap Multiscale Analysis and Localization??in Random Media, Communications in Mathematical Physics, vol.222, issue.2, pp.415-448, 2001.
DOI : 10.1007/s002200100518
URL : https://hal.archives-ouvertes.fr/hal-00092744

F. Germinet and F. Klopp, Spectral statistics for random Schrödinger operators in the localized regime, Jour. Eur. Math. Soc, vol.164, issue.9, pp.1967-2031, 2014.

A. Grigis and J. Sjöstrand, Microlocal Analysis for Differential Operators Lecture Note Series 196, 1994.

A. Guionnet and P. , Convergence of the spectral measure of non-normal matrices, Proceedings of the American Mathematical Society, vol.142, issue.2, pp.667-679, 2014.
DOI : 10.1090/S0002-9939-2013-11761-2

M. Hager, Instabilit?? Spectrale Semiclassique d???Op??rateurs Non-Autoadjoints II, Annales Henri Poincar??, vol.7, issue.6, pp.1035-1064, 2006.
DOI : 10.1007/s00023-006-0275-7

M. Hager and J. Sjöstrand, Eigenvalue asymptotics for randomly perturbed non-selfadjoint operators, Mathematische Annalen, vol.71, issue.4, pp.177-243, 2008.
DOI : 10.1007/s00208-008-0230-7

B. Helffer and D. Robert, Comportement semi-classique du spectre des Hamiltoniens quantiques elliptiques, Journ??es ??quations aux d??riv??es partielles, vol.31, issue.3, pp.169-223, 1981.
DOI : 10.5802/jedp.209

P. Hislop, Lectures on Random Schrödinger Operators, Fourth Summer School in, Analysis and Mathematical Physics, vol.476, pp.41-131, 2008.

V. Ivrii, Microlocal analysis and precise spectral asymptotics, Monographs in Math, 1998.

M. Kac, On the average number of real roots of a random algebraic equation, Bulletin of the American Mathematical Society, vol.49, issue.4, pp.314-320, 1943.
DOI : 10.1090/S0002-9904-1943-07912-8

T. Kato, Perturbation Theory for Linear Operators, Classics in Mathematics, 1995.

W. Kirsch, An invitation to random Schrödinger operators, Panormas et Synthèse, 2008.

F. Klopp, Resonances for perturbations of a semiclassical periodic Schrödinger operator, Arkiv för Matematik, pp.323-371, 1994.

M. L. Mehta, Matrix Theory -Selected Topics and Useful Results, 1989.

A. Melin and J. Sjöstrand, Fourier integral operators with complex-valued phase functions, Lecture Notes in Mathematics, vol.179, pp.120-223, 1975.
DOI : 10.1007/BF01350124

N. Minami, Local fluctuation of the spectrum of a multidimensional Anderson tight binding model, Communications in Mathematical Physics, vol.124, issue.3, pp.709-725, 1996.
DOI : 10.1007/BF02099544

F. Pham, Introduction à l'étude topologique singularités de Landau, Mémorial des sciences Mathématiques, 1967.

K. Pravda-starov, A general result about the pseudo-spectrum of Schrodinger operators, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.460, issue.2042, pp.471-477, 2004.
DOI : 10.1098/rspa.2003.1194

A. Raphael and M. Zworski, Pseudospectral effects and basins of attraction

M. Reed and B. Simon, Analysis of Operators, Methods of Modern Mathematical Physics, vol.4, 1978.

C. Rojas-molina and I. Veseli´cveseli´c, Scale-Free Unique Continuation Estimates and Applications to Random Schr??dinger Operators, Communications in Mathematical Physics, vol.13, issue.1, pp.245-274, 2013.
DOI : 10.1007/s00220-013-1683-4

B. Sandstede and A. Scheel, Basin boundaries and bifurcations near convective instabilities: a case study, Journal of Differential Equations, vol.208, issue.1, pp.176-193, 2005.
DOI : 10.1016/j.jde.2004.02.016

B. Shiffman, Convergence of random zeros on complex manifolds, Science in China Series A: Mathematics, vol.1998, issue.4, pp.707-720, 2008.
DOI : 10.1007/s11425-008-0060-9

B. Shiffman and S. Zelditch, Distribution of Zeros of Random and Quantum Chaotic Sections of Positive Line Bundles, Communications in Mathematical Physics, vol.200, issue.3, pp.661-683, 1999.
DOI : 10.1007/s002200050544

J. Sjöstrand, Non-self-adjoint differential operators, spectral asymptotics and random perturbations

J. Sjöstrand and M. Vogel, Interior eigenvalue density of Jordan matrices with random perturbations , (2015), accepted for publication as part of a book in honour of Mikael Passare in the series Trends in Mathematics

J. Sjöstrand and M. Zworski, Complex Scaling and the Distribution of Scattering Poles, Journal of the American Mathematical Society, vol.4, issue.4, 1991.
DOI : 10.2307/2939287

M. Sodin, Zeros of Gaussian Analytic Functions and Determinantal Point Processes, Mathematical Research Letters, issue.7, pp.371-381, 2000.

M. Sodin and B. Tsirelson, Random complex zeroes, I. Asymptotic normality, Israel Journal of Mathematics, vol.44, issue.2, pp.125-149, 2004.
DOI : 10.1007/BF02984409

P. Stefanov, Quasimodes and resonances: Sharp lower bounds, Duke Mathematical Journal, vol.99, issue.1, pp.75-92, 1999.
DOI : 10.1215/S0012-7094-99-09903-9

S. Tang and M. Zworski, From quasimodes to resonances, Mathematical Research Letters, vol.5, issue.3, pp.261-272, 1998.
DOI : 10.4310/MRL.1998.v5.n3.a1

T. Tao, Topics in Random Matrix Theory, Graduate Studies in Mathematics, vol.132, 2002.
DOI : 10.1090/gsm/132

L. N. Trefethen, Pseudospectra of linear operators, SIAM Rev, pp.383-406, 1997.

I. Veseli´cveseli´c, Existence and Regularity Properties of the Integrated Density of States of Random Schrödinger Operators, 2008.

M. Vogel, Eigenvalue interaction for a class of non-selfadjoint operators under random perturbations, 2014.

K. Yosida, Functional Analysis, Classics in Mathematics, 1995.