%0 Journal Article %T A Berry-Esseen type inequality for convex bodies with an unconditional basis %A Bo'az Klartag %J Mathematics %D 2007 %I arXiv %X We provide a sharp rate of convergence in the central limit theorem for random vectors with an unconditional, log-concave density. The argument relies on analysis of the Neumann laplacian on convex domains and on the theory of optimal transportation of measures. %U http://arxiv.org/abs/0705.0832v3