[en] Redistribution of weak near-resonance radiation by perturbed two-state atoms is investigated without making the assumption of binary collisions. Perturbation of the atoms is assumed to occur as level fluctuations which obey a stationary stochastic process. The redistribution function is formally established in the atom's rest frame, neglecting lower-state broadening. It is demonstrated that for slow perturbations the Rayleigh response function is significantly different in shape from the absorption profile, even close to resonance. Slow perturbations also entail the occurrence of a broadened Rayleigh component in addition to the narrow Rayleigh component and the broadened fluorescence component. The redistribution function is evaluated for three special cases corresponding to small perturbations, very slow perturbations and perturbations obeying a Poisson step process. (author)