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In the first part of this contribution we show that the Levy stable shape ofthe correlation function can be caused by averaging of the measured correlationfunctions over a large number of events. In the second part it is demonstratedhow a sample of events sorted by Event Shape Sorting technique exhibitsdifferent azimuthal dependence of correlation radii in each event class.

Event by event fluctuations of the source shape: implications for the Levy shape, and Event Shape Sorting