1. A method for recognizing tumorous living cell tissue, wherein electromagnetic radiation is emitted in a locally defined manner onto cell tissue by a radiation source and, after a deactivation of the radiation source, the decay behavior of the inherent fluorescence intensity of the cell tissue excited by the electromagnetic radiation is detected with time and spectral resolution using known sampling rate(s) for at least one wavelength using a detector; and the difference autocorrelation function C(t) of the intensity decay behavior is determined using the determined measured intensity values, the fractal dimension D F is calculated for the respective irradiated cell tissue and the value of the fractal dimension D F is used for a classification with respect to a presence of a tumor in the respective irradiated cell tissue.