We report a numerical study of the bond-diluted two-dimensional Potts model
using transfer-matrix calculations. For different numbers of states per sp
in, we show that the critical exponents at the random fixed point are the s
ame as in self-dual random-bond cases. In addition, we determine the multif
ractal spectrum associated with the scaling dimensions of the moments of th
e spin-spin correlation function in the cylinder geometry. We show that the
behaviour is fully compatible with the one observed in the random-bond cas
e, confirming the general picture according to which a unique fixed point d
escribes the critical properties of different classes of disorder: dilution
, self-dual binary random bond, self-dual continuous random bond.