Multifractal spectra of in-homogenous self-similar measures

Let S-i : R-d -> R-d for i = 1,...,N be contracting similarities. Also, let (P-1, - - -, P-N, P) be a probability vector and let nu be a probability measure on R-d with compact support. Then there exists a unique probability measure mu on R-d such thatmu = Sigma P-i(i)mu circle S-i(-1) + P nuThe mesure mu is called an in-homogenous self-similar measure.