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We apply dynamical string models of heavy-ions collisions at high energies tothe analysis of event-by-event fluctuations. Main attention is devoted to a newvariable proposed to study "equilibration" in heavy-ions collisions. Recentresults of the NA49 collaboration at CERN SPS are compared with predictions ofthe Quark-Gluon String Model (QGSM), which gives a good description ofdifferent aspects of multiparticle production for collisions of nucleons andnuclei. It is shown that the new observable and other results of the NA49analysis of event-by-event fluctuations are correctly reproduced in the model.We discuss dynamical effects responsible for these fluctuations and give thepredictions for p-p, p-Pb and Pb-Pb collisions at RHIC and higher energies.

Event-by-event fluctuations in heavy-ion collisions and the quark-gluon string model