REMARKS ON THERMAL STRINGS OUTSIDE BLACK-HOLES

We discuss the semiclassical approximation to the level density of (su per) strings propagating in non-compact coset manifolds G/H. We show t hat the WKB ansatz agrees with heuristic red-shift arguments with resp ect to the ''exact'' sigma-model metric, up to some deviations from mi nimal coupling, parametrized by the dilaton. This approximation is use d to study thermal ensembles of free strings in black holes, with the ''brick wall'' horizon regularization of'tHooft. In two dimensions the entropy diverges logarithmically with the horizon thickness, and a lo cal Hagedom transition occurs in higher dimensional models. We also ob serve that supersymmetry improves the regularity of strings at the hor izon.