  In this article, we will consider Wishart Matrices with correlated entries,
but with a strictly log-concave law. It has been shown by A.Pajor and L.Pastur
that the empirical measures of such matrices converges. We will show, under
some symmetry and convergence hypotheses, that in this case the central limit
theorem for linear statistics holds around their limit, and deduce the
convergence of the support to the support of the limiting measure. We also
provide the convergence of the Expectation and the Covariance.
