STATISTICAL EFFECTS AND THE BLACK-HOLE-D-BRANE CORRESPONDENCE

The horizon area and curvature of three-charge BPS black strings are s tudied in the D-brane ensemble for the stationary black string. The ch arge distributions along the string are used to translate the classica l expressions for the horizon area and curvature of BPS black strings with waves into operators on the D-brane Hilbert space. Despite the fa ct that any ''wavy'' black string has a smaller horizon area and diver gent curvature, the typical values of the horizon area and effects of the horizon curvature in the D-brane ensemble deviate negligibly from those of the original stationary black string in the limit of large in teger charges. Whether this holds in general will depend on certain pr operties of the quantum bound states.