  Recent discussion of the possibility to study intermittency in individual
events of high multiplicity by A. Bialas and myself is reported. In the
framework of $\alpha-$model it is found that, for a cascade long enough, the
dispersion of intermittency exponents obtained from individual events is fairly
small. This fact opens the possibility to study the distribution of the
intermittency parameters characterizing the cascades seen (by observing
intermittency) in particle spectra.
