  Considering random matrix $X \in \mathcal M_{p,n}$ with independent columns
satisfying the convex concentration properties issued from a famous theorem of
Talagrand, we express the linear concentration of the resolvent $Q = (I_p -
\frac{1}{n}XX^T) ^{-1}$ around a classical deterministic equivalent with a good
observable diameter for the nuclear norm. The general proof relies on a
decomposition of the resolvent as a series of powers of $X$.
