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We use a random walk in the ensemble of impurity configurations to generate aBrownian motion model for energy levels in disordered conductors. Treatingarc-length along the random walk as fictitous time, the resulting Langevinequation relates spectral statistics to eigenfunction correlations. Solvingthis equation at energy scales large compared with the mean level spacing, weobtain the spectral form factor, and its parametric dependence.Comment: 4 pages in REVTeX format including 1 postscript figure; to be  published in Phys. Rev. Letters, 199

Random Walks through the Ensemble: Linking Spectral Statistics with Wave-Function Correlations in Disordered Metals