Abstract: We construct open sets of $C^k$ ($k\ge 2$) vector fields with singularities that have robust exponential decay of correlations and satisfy the central limit theorem with respect to the unique physical measure. In particular we prove that the geometric Lorenz attractor has exponential decay of correlations with respect to the unique physical measure. Moreover, we discuss some open questions and further generalizations. This is a joint work with V. Araújo.