Considérons une matrice , non centrée, de taille , avec un profil de variance séparable :
Consider a non-centered matrix with a separable variance profile:
Mots clés : random matrix, empirical distribution of the eigenvalues, Stieltjes transform
@article{AIHPB_2013__49_1_36_0, author = {Hachem, Walid and Loubaton, Philippe and Najim, Jamal and Vallet, Pascal}, title = {On bilinear forms based on the resolvent of large random matrices}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {36--63}, publisher = {Gauthier-Villars}, volume = {49}, number = {1}, year = {2013}, doi = {10.1214/11-AIHP450}, mrnumber = {3060147}, zbl = {1272.15020}, language = {en}, url = {http://www.numdam.org/articles/10.1214/11-AIHP450/} }
TY - JOUR AU - Hachem, Walid AU - Loubaton, Philippe AU - Najim, Jamal AU - Vallet, Pascal TI - On bilinear forms based on the resolvent of large random matrices JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2013 SP - 36 EP - 63 VL - 49 IS - 1 PB - Gauthier-Villars UR - http://www.numdam.org/articles/10.1214/11-AIHP450/ DO - 10.1214/11-AIHP450 LA - en ID - AIHPB_2013__49_1_36_0 ER -
%0 Journal Article %A Hachem, Walid %A Loubaton, Philippe %A Najim, Jamal %A Vallet, Pascal %T On bilinear forms based on the resolvent of large random matrices %J Annales de l'I.H.P. Probabilités et statistiques %D 2013 %P 36-63 %V 49 %N 1 %I Gauthier-Villars %U http://www.numdam.org/articles/10.1214/11-AIHP450/ %R 10.1214/11-AIHP450 %G en %F AIHPB_2013__49_1_36_0
Hachem, Walid; Loubaton, Philippe; Najim, Jamal; Vallet, Pascal. On bilinear forms based on the resolvent of large random matrices. Annales de l'I.H.P. Probabilités et statistiques, Tome 49 (2013) no. 1, pp. 36-63. doi : 10.1214/11-AIHP450. http://www.numdam.org/articles/10.1214/11-AIHP450/
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