MULTIFRACTAL PROPERTIES OF POWER-LAW TIME SEQUENCES - APPLICATION TO RICE PILES

We study the properties of time sequences extracted from a self-organi zed critical system, within the framework of the mathematical multifra ctal analysis. To this end. we propose a fixed-mass algorithm, well su ited to deal with highly inhomogeneous one-dimensional multifractal me asures. We fmd that the fixed-mass (dual) spectrum of generalized dime nsions depends on both the system size L and the length N of the seque nce considered, being stable, however, when these two parameters are k ept fixed. A finite-size scaling relation is proposed, allowing us to define a renormalized spectrum, independent of size effects. We interp ret our results as evidence of extremely long-range correlations induc ed in the sequence by the criticality of the system.