The experimental results on factorial moments (FM’s) in different phase space dimensions are examined in some detail. The general trends of one- and three-dimensional FM’s and the complexity of the two-dimensional ones are pointed out. It is shown that all the complicated patterns of FM’s in different dimensions can be understood comprehensively under the assumption of self-affine fluctuations in 3D, which means that anomalous scaling of FM’s may exist in multiparticle final states provided the shrinkage of phase space is done correctly a...
