The cluster morphology and the aggregation dynamics in 2-D cluster–cluster aggregation experiments is characterized by examining the scaling of the natural measure. The calculated f(α) spectra display a typical multifractal behaviour. As expected, the order of the particles upon aggregation...

Multi-fractal processes have been proposed as a new formalism for modeling the time series of returns in finance. The major attraction of these processes is their capability of generating various degrees of long-memory in different powers of returns - a feature that has been found to...

Multi-fractal processes have been proposed as a new formalism for modeling the time series of returns in finance. The major attraction of these processes is their capability of generating various degrees of long-memory in different powers of returns - a feature that has been found to...

It is shown, by comparison with laboratory and computer simulation data obtained on turbulent, percolation and growth processes, that global (i.e. for wide-range of the variable q) behavior of generalized dimension, Dq, of the random systems near monofractal (homogeneous) states is similar to a...