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We review a novel approach to evaluate the ground-state properties ofmany-body lattice systems based on an exact probabilistic representation of thedynamics and its long time approximation via a central limit theorem. Thechoice of the asymptotic density probability used in the calculation isdiscussed in detail.Comment: 9 pages, contribution to the proceedings of 12th International  Conference on Recent Progress in Many-Body Theories, Santa Fe, New Mexico,  August 23-27, 200

GROUND STATE OF MANY-BODY LATTICE SYSTEMS VIA A CENTRAL LIMIT THEOREM