We study the correlation properties of long-range correlated time series, xi, with tunable correlation exponent and built-in multifractal properties. For the cases we investigate we find that the correlation exponent of the magnitude series, ∣xi+1−xi∣, is a monotonically increasing function of the multifractal spectrum width of the original series.
Cite
@article{arxiv.cond-mat/0111396,
title = {Relation between Magnitude Series Correlations and Multifractal Spectrum Width},
author = {Yosef Ashkenazy and Shlomo Havlin and Plamen Ch. Ivanov and Chung-K. Peng and Verena Schulte-Frohlinde and H. Eugene Stanley},
journal= {arXiv preprint arXiv:cond-mat/0111396},
year = {2007}
}