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We have studied numerically the appearance of multiscaling behavior in thethree-dimensional ferromagnetic Ising site diluted model, in the form of amultifractal distribution of the decay exponents for the spatial correlationfunctions at the critical temperature. We have computed the exponents of thelong-distance decay of higher moments of the correlation function, up to the10th power, by studying three different quantities: global susceptibilities,local susceptibilities and correlation functions. We have found very clearevidences for multiscaling behavior.

Multiscaling in the 3D critical site-diluted Ising ferromagnet