The radiative transport of electronic energy is simulated in one dimension by stochastic methods (homogeneous Markov chains and Monte Carlo simulation). This approach allows the calculation of the fluorescence decay curves as a function of both the excitation and the emission wavelengths and of the fluorescence spectrum for given concentration, excitation/emission geometry and photophysical characteristics of the fluorophore. Time-resolved fluorescence and steady-state spectra of 9,10-diphenylanthracene (DPA) in benzene at several concentrations for front-face, right-angle and transmission geometries were calculated and compared with the available experimental results.