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

I. Berkes and L. Horváth, Limit theorems for logarithmic averages of fractional Brownian motions, Journal of Theoretical Probability, vol.12, issue.4, pp.985-1009, 1999.
DOI : 10.1023/A:1021641020103

M. Be´skabe´ska and Z. Ciesielski, On sequences of the white noises, Probab. Math. Statist, vol.26, issue.1, pp.201-209, 2006.

N. H. Bingham, C. M. Goldie, and J. L. Teugels, Regular Variation, pp.Cam- bridge, 1989.
DOI : 10.1017/CBO9780511721434

J. Breton and I. Nourdin, Error bounds on the non-normal approximation of Hermite power variations of fractional Brownian motion, Electronic Communications in Probability, vol.13, issue.0, pp.482-493, 2008.
DOI : 10.1214/ECP.v13-1415

URL : https://hal.archives-ouvertes.fr/hal-00355195

P. Breuer and P. Major, Central limit theorems for non-linear functionals of Gaussian fields, Journal of Multivariate Analysis, vol.13, issue.3, pp.425-441, 1983.
DOI : 10.1016/0047-259X(83)90019-2

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

R. L. Dobrushin and P. Major, Non-central limit theorems for nonlinear functionals of Gaussian fields, Z. Wahrsch. verw. Gebiete, issue.50, pp.27-52, 1979.

L. Giraitis and D. Surgailis, CLT and other limit theorems for functionals of Gaussian processes, Zeitschrift f??r Wahrscheinlichkeitstheorie und verwandte Gebiete, vol.50, issue.2, pp.191-212, 1985.
DOI : 10.1007/BF02451428

K. Gonchigdanzan, Almost Sure Central Limit Theorems, 2001.

I. A. Ibragimov and M. A. Lifshits, On the convergence of generalized moments in almost sure central limit theorem, Statistics & Probability Letters, vol.40, issue.4, pp.343-351, 1998.
DOI : 10.1016/S0167-7152(98)00134-5

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.

I. Nourdin and G. Peccati, Stein???s method on Wiener chaos, Probability Theory and Related Fields, vol.25, issue.4, pp.75-118, 2009.
DOI : 10.1007/s00440-008-0162-x

URL : http://arxiv.org/abs/0712.2940

I. Nourdin, G. Peccati, and G. Reinert, Second order Poincar?? inequalities and CLTs on Wiener space, Journal of Functional Analysis, vol.257, issue.2, pp.593-609, 2009.
DOI : 10.1016/j.jfa.2008.12.017

URL : http://doi.org/10.1016/j.jfa.2008.12.017

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. Samorodnitsky and M. S. Taqqu, Stable non-Gaussian random processes, 1994.

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

M. S. Taqqu, Convergence of integrated processes of arbitrary Hermite rank, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.7, issue.1, pp.53-83, 1979.
DOI : 10.1007/BF00535674