F. Abramovich, Y. Benjamini, D. L. Donoho, and I. M. Johnstone, Adapting to unknown sparsity by controlling the false discovery rate, The Annals of Statistics, vol.34, issue.2, pp.584-653, 2006.
DOI : 10.1214/009053606000000074

Z. D. Bai and Y. Q. Yin, Limit of the Smallest Eigenvalue of a Large Dimensional Sample Covariance Matrix, The Annals of Probability, vol.21, issue.3, pp.1275-1294, 1993.
DOI : 10.1214/aop/1176989118

J. Bardet and D. Surgailis, Moment bounds and central limit theorems for Gaussian subordinated arrays, Journal of Multivariate Analysis, vol.114, 2011.
DOI : 10.1016/j.jmva.2012.08.002

URL : https://hal.archives-ouvertes.fr/hal-00588606

Y. Benjamini and Y. Hochberg, Controlling the false discovery rate: a practical and powerful approach to multiple testing, J. Roy. Statist. Soc. Ser. B, vol.57, issue.1, pp.289-300, 1995.

Y. Benjamini and D. Yekutieli, The control of the false discovery rate in multiple testing under dependency, Ann. Statist, vol.29, issue.4, pp.1165-1188, 2001.

P. Billingsley, Convergence of probability measures, 1968.
DOI : 10.1002/9780470316962

P. Billingsley, Convergence of probability measures Wiley Series in Probability and Statistics: Probability and Statistics, 1999.

S. Csörg?-o and J. Mielniczuk, The empirical process of a short-range dependent stationary sequence under Gaussian subordination. Probab. Theory Related Fields, pp.15-25, 1996.

J. Dedecker and C. Prieur, An empirical central limit theorem for dependent sequences, Stochastic Processes and their Applications, vol.117, issue.1, pp.121-142, 2007.
DOI : 10.1016/j.spa.2006.06.003

URL : https://hal.archives-ouvertes.fr/hal-00685975

H. Dehling and M. S. Taqqu, The Empirical Process of some Long-Range Dependent Sequences with an Application to $U$-Statistics, The Annals of Statistics, vol.17, issue.4, pp.1767-1783, 1989.
DOI : 10.1214/aos/1176347394

S. Delattre and E. Roquain, On the false discovery proportion convergence under Gaussian equi-correlation, Statistics & Probability Letters, vol.81, issue.1, pp.111-115, 2011.
DOI : 10.1016/j.spl.2010.09.025

URL : https://hal.archives-ouvertes.fr/hal-00497134

M. D. Donsker, Justification and Extension of Doob's Heuristic Approach to the Kolmogorov- Smirnov Theorems, The Annals of Mathematical Statistics, vol.23, issue.2, pp.277-281, 1952.
DOI : 10.1214/aoms/1177729445

J. L. Doob, Heuristic Approach to the Kolmogorov-Smirnov Theorems, The Annals of Mathematical Statistics, vol.20, issue.3, pp.393-403, 1949.
DOI : 10.1214/aoms/1177729991

P. Doukhan, G. Lang, and D. Surgailis, Asymptotics of weighted empirical processes of linear fields with long-range dependence, Annales de l'Institut Henri Poincare (B) Probability and Statistics, vol.38, issue.6, pp.879-896, 2002.
DOI : 10.1016/S0246-0203(02)01139-1

P. Doukhan, G. Lang, D. Surgailis, and G. Andteyssì-ere, Dependence in probability and statistics, Lecture Notes in Statistics, vol.200, 2010.
DOI : 10.1007/978-3-642-14104-1

URL : https://hal.archives-ouvertes.fr/hal-00268232

R. M. Dudley, Weak Convergence of Probabilities on Nonseparable Metric Spaces and Empirical Measures on Euclidean Spaces, Illinois J. Math, vol.10, pp.109-126, 1966.
DOI : 10.1007/978-1-4419-5821-1_2

B. Efron, -Values and the Accuracy of Large-Scale Statistical Estimates, Journal of the American Statistical Association, vol.105, issue.491, pp.1042-1055, 2010.
DOI : 10.1198/jasa.2010.tm09129

URL : https://hal.archives-ouvertes.fr/in2p3-00356269

B. Efron, R. Tibshirani, J. D. Storey, and V. Tusher, Empirical Bayes Analysis of a Microarray Experiment, Journal of the American Statistical Association, vol.96, issue.456, pp.961151-1160, 2001.
DOI : 10.1198/016214501753382129

J. Fan, X. Han, and W. Gu, Estimating False Discovery Proportion Under Arbitrary Covariance Dependence, Journal of the American Statistical Association, vol.71, issue.499, pp.1019-1035, 2012.
DOI : 10.1080/01621459.2012.720478

A. Farcomeni, More Powerful Control of the False Discovery Rate Under Dependence, Statistical Methods and Applications, vol.82, issue.1, pp.43-73, 2006.
DOI : 10.1007/s10260-006-0002-z

A. Farcomeni, Some Results on the Control of the False Discovery Rate under Dependence, Scandinavian Journal of Statistics, vol.23, issue.2, pp.275-297, 2007.
DOI : 10.1007/BF01192169

D. Foata, Some Hermite polynomial identities and their combinatorics, Advances in Applied Mathematics, vol.2, issue.3, pp.250-259, 1981.
DOI : 10.1016/0196-8858(81)90006-3

URL : http://doi.org/10.1016/0196-8858(81)90006-3

C. Friguet, M. Kloareg, and D. Causeur, A Factor Model Approach to Multiple Testing Under Dependence, Journal of the American Statistical Association, vol.104, issue.488, pp.1406-1415, 2009.
DOI : 10.1198/jasa.2009.tm08332

URL : https://hal.archives-ouvertes.fr/hal-00458049

C. Genovese and L. Wasserman, A stochastic process approach to false discovery control, Ann. Statist, vol.32, issue.3, pp.1035-1061, 2004.

P. Hall and C. C. Heyde, Martingale limit theory and its application, Probability and Mathematical Statistics, 1980.

J. Jacod and A. N. Shiryaev, Limit theorems for stochastic processes, of Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences, 2003.
DOI : 10.1007/978-3-662-02514-7

I. M. Johnstone, components analysis, The Annals of Statistics, vol.29, issue.2, pp.295-327, 2001.
DOI : 10.1214/aos/1009210544

W. F. Kibble, An extension of a theorem of Mehler's on Hermite polynomials, Proc. Cambridge Philos. Soc, pp.12-15, 1945.
DOI : 10.1112/jlms/s1-8.3.189

K. I. Kim and M. Van-de-wiel, Effects of dependence in high-dimensional multiple testing problems, BMC Bioinformatics, vol.9, issue.1, p.114, 2008.
DOI : 10.1186/1471-2105-9-114

E. L. Korn, J. F. Troendle, L. M. Mcshane, and R. Simon, Controlling the number of false discoveries: application to high-dimensional genomic data, Journal of Statistical Planning and Inference, vol.124, issue.2, pp.379-398, 2004.
DOI : 10.1016/S0378-3758(03)00211-8

L. Larsson-cohn, Lp-norms of Hermite polynomials and an extremal problem on Wiener chaos, Arkiv f??r Matematik, vol.40, issue.1, pp.133-144, 2002.
DOI : 10.1007/BF02384506

E. L. Lehmann and J. P. Romano, Generalizations of the familywise error rate, The Annals of Statistics, vol.33, issue.3, pp.1138-1154, 2005.
DOI : 10.1214/009053605000000084

P. Neuvial, Asymptotic properties of false discovery rate controlling procedures under independence, Electronic Journal of Statistics, vol.2, issue.0, pp.1065-1110, 2008.
DOI : 10.1214/08-EJS207

URL : https://hal.archives-ouvertes.fr/hal-00286066

P. Neuvial, Corrigendum to ???Asymptotic properties of false discovery rate controlling procedures under independence???, Electronic Journal of Statistics, vol.3, issue.0, p.1083, 2009.
DOI : 10.1214/09-EJS519

J. P. Romano and M. Wolf, Control of generalized error rates in multiple testing, The Annals of Statistics, vol.35, issue.4, pp.1378-1408, 2007.
DOI : 10.1214/009053606000001622

E. Roquain and F. Villers, Exact calculations for false discovery proportion with application to least favorable configurations, The Annals of Statistics, vol.39, issue.1, pp.584-612, 2011.
DOI : 10.1214/10-AOS847SUPP

URL : https://hal.archives-ouvertes.fr/hal-00593241

A. Schwartzman and X. Lin, The effect of correlation in false discovery rate estimation, Biometrika, vol.98, issue.1, pp.199-214, 2011.
DOI : 10.1093/biomet/asq075

Q. Shao and H. Yu, Weak convergence for weighted empirical processes of dependent sequences, The Annals of Probability, vol.24, issue.4, pp.2098-2127, 1996.
DOI : 10.1214/aop/1041903220

D. Slepian, On the Symmetrized Kronecker Power of a Matrix and Extensions of Mehler???s Formula for Hermite Polynomials, SIAM Journal on Mathematical Analysis, vol.3, issue.4, pp.606-616, 1972.
DOI : 10.1137/0503060

J. D. Storey, The positive false discovery rate: a Bayesian interpretation and the q -value, The Annals of Statistics, vol.31, issue.6, pp.312013-2035, 2003.
DOI : 10.1214/aos/1074290335

Y. Sun, N. R. Zhang, and A. B. Owen, Multiple hypothesis testing adjusted for latent variables, with an application to the AGEMAP gene expression data, The Annals of Applied Statistics, vol.6, issue.4, pp.1664-1688, 2012.
DOI : 10.1214/12-AOAS561

M. S. Taqqu, Law of the iterated logarithm for sums of non-linear functions of Gaussian variables that exhibit a long range dependence, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.12, issue.3, pp.40203-238, 1977.
DOI : 10.1007/BF00736047

A. W. Van-der-vaart, Asymptotic statistics, volume 3 of Cambridge Series in Statistical and Probabilistic Mathematics, 1998.