Left-sided multifractality of the harmonic measure on 2-D cluster-cluster aggregates

We characterise the morphology of clusters formed in 2-D cluster-cluster aggregation experiments by examining the scaling of the harmonic measure on their perimeter. The calculated f(α) spectra display behaviour typical of left-sided multifractality. The standard interpretation of multifractal, due to Frisch & Parisi and Halsey et al., is thus inadequate to characterise the scaling of the measure on the aggregates and one has to resort to the original and broader interpretation of Mandelbrot.