Near-field photoluminescence spectra of a single quantum well dominated by emission from localized excitons are subjected to a statistical analysis of the two-energy autocorrelation function, This analysis is compared to a theoretical model of the exciton center-of-mass motion in a two-dimensional spatially correlated disordered potential. The spatial and energetic parameters of the disorder potential underlying the excitonic motion are extracted and clear signature,,, of quantum-mechanical energy level repulsion are revealed. (C) 2002 Elsevier Science B.V. All rights reserved.