H. Airault, P. Malliavin, and F. Viens, Stokes formula on the Wiener space and n-dimensional Nourdin???Peccati analysis, Journal of Functional Analysis, vol.258, issue.5, pp.1763-1783, 2009.
DOI : 10.1016/j.jfa.2009.07.005

G. Anderson, A. Guionnet, and O. Zeitouni, An introduction to random matrices, Cambridge Studies in Advanced Mathematics, vol.118, 2009.
DOI : 10.1017/CBO9780511801334

G. Anderson and O. Zeitouni, A CLT for a band matrix model, Probability Theory and Related Fields, vol.20, issue.2, pp.283-338, 2006.
DOI : 10.1007/s00440-004-0422-3

Z. D. Bai and Y. Q. Yin, Limiting behaviour of the norm products of random matrices and two problems of Geman-Hwang. Probab. Theory Rel, pp.555-569, 1986.

B. Bercu, I. Nourdin, and M. S. Taqqu, A multiple stochastic integral criterion for almost sure limit theorems, revision for: Stoch. Proc. Appl, 2009.

I. Berkes and E. Csáki, A universal result in almost sure central limit theory, Stochastic Processes and their Applications, vol.94, issue.1, pp.105-134, 2001.
DOI : 10.1016/S0304-4149(01)00078-3

G. A. Brosamler, An almost everywhere central limit theorem, Mathematical Proceedings of the Cambridge Philosophical Society, vol.104, issue.03, pp.561-574, 1988.
DOI : 10.1007/BF01404058

S. Chatterjee, Fluctuations of eigenvalues and second order Poincar?? inequalities, Probability Theory and Related Fields, vol.123, issue.3, pp.1-40, 2009.
DOI : 10.1007/s00440-007-0118-6

L. H. Chen and Q. Shao, Stein's method for normal approximation In: An Introduction to, Lecture Notes Series No, vol.4, pp.1-59, 2005.

A. Costin and J. L. Lebowitz, Gaussian Fluctuation in Random Matrices, Physical Review Letters, vol.75, issue.1, pp.69-72, 1995.
DOI : 10.1103/PhysRevLett.75.69

P. Diaconis and S. E. Evans, Linear functionals of eigenvalues of random matrices, Transactions of the American Mathematical Society, vol.353, issue.07, pp.2615-2633, 2001.
DOI : 10.1090/S0002-9947-01-02800-8

P. Diaconis and M. Shahshahani, On the Eigenvalues of Random Matrices, Journal of Applied Probability, vol.31, pp.49-62, 1994.
DOI : 10.2307/3214948

P. J. Forrester, Fluctuation formula for complex random matrices, Journal of Physics A: Mathematical and General, vol.32, issue.13, pp.159-163, 1999.
DOI : 10.1088/0305-4470/32/13/003

S. Geman, A Limit Theorem for the Norm of Random Matrices, The Annals of Probability, vol.8, issue.2, pp.252-261, 1980.
DOI : 10.1214/aop/1176994775

S. Geman, The Spectral Radius of Large Random Matrices, The Annals of Probability, vol.14, issue.4, pp.1318-1328, 1986.
DOI : 10.1214/aop/1176992372

J. Ginibre, Statistical Ensembles of Complex, Quaternion, and Real Matrices, Journal of Mathematical Physics, vol.6, issue.3, pp.440-449, 1965.
DOI : 10.1063/1.1704292

A. Guionnet, Large random matrices: lectures on macroscopic asymptotics. LNM 1957, 2008.

S. Hörmann, Critical Behavior in Almost Sure Central Limit Theory, Journal of Theoretical Probability, vol.101, issue.3, pp.613-636, 2007.
DOI : 10.1007/s10959-007-0080-3

I. A. Ibragimov and M. A. Lifshits, On limit theorems of " almost sure " type. Theory Probab, Appl, vol.44, issue.2, pp.254-272, 2000.

S. Janson, Gaussian Hilbert Spaces, 1997.
DOI : 10.1017/CBO9780511526169

M. T. Lacey and W. Philipp, A note on the almost sure central limit theorem, Statistics & Probability Letters, vol.9, issue.3, pp.201-205, 1990.
DOI : 10.1016/0167-7152(90)90056-D

P. Lévy, Théorie de l'addition des variables aléatoires. Gauthiers-Villars, 1937.

E. Mossel, R. O. Donnell, and K. Oleszkiewicz, Noise stability of functions with low influences: Invariance and optimality, Annals of Mathematics, vol.171, issue.1, pp.295-341, 2010.
DOI : 10.4007/annals.2010.171.295

I. Nourdin and G. Peccati, Stein's method on Wiener chaos. Probab. Theory Rel, pp.75-118, 2009.

I. Nourdin, G. Peccati, and G. Reinert, Invariance principles for homogeneous sums: Universality of Gaussian Wiener chaos, The Annals of Probability, vol.38, issue.5, 2009.
DOI : 10.1214/10-AOP531
URL : https://hal.archives-ouvertes.fr/hal-00523525

D. Nualart, The Malliavin calculus and related topics, 2006.
DOI : 10.1007/978-1-4757-2437-0

D. Nualart and G. Peccati, Central limit theorems for sequences of multiple stochastic integrals, The Annals of Probability, vol.33, issue.1, pp.177-193, 2005.
DOI : 10.1214/009117904000000621

G. Peccati and C. A. Tudor, Gaussian limits for vector-valued multiple stochastic integrals. Séminaire de Probabilités XXXVIII, LNM 1857, pp.247-262, 2005.

B. Rider, Deviations from the Circular Law, Probability Theory and Related Fields, vol.123, issue.3, pp.337-367, 2004.
DOI : 10.1007/s00440-004-0355-x

B. Rider and J. Silverstein, Gaussian fluctuations for non-Hermitian random matrix ensembles, The Annals of Probability, vol.34, issue.6, pp.2118-2143, 1986.
DOI : 10.1214/009117906000000403

B. Rider and B. Virág, The Noise in the Circular Law and the Gaussian Free Field, International Mathematics Research Notices, vol.2, 2007.
DOI : 10.1093/imrn/rnm006

V. I. Rotar, Limit theorems for polylinear forms, Journal of Multivariate Analysis, vol.9, issue.4, pp.511-530, 1979.
DOI : 10.1016/0047-259X(79)90055-1

P. Schatte, On Strong Versions of the Central Limit Theorem, Mathematische Nachrichten, vol.77, issue.1, pp.249-256, 1988.
DOI : 10.1002/mana.19881370117

R. Stanley, Enumerative combinatorics, 1997.

T. Tao and V. Vu, Random matrices, 2008.
DOI : 10.1090/gsm/132/02