Relation between Magnitude Series Correlations and Multifractal Spectrum Width
classification
❄️ cond-mat
keywords
seriescorrelationmultifractalexponentmagnitudepropertiesspectrumwidth
read the original abstract
We study the correlation properties of long-range correlated time series, $x_i$, with tunable correlation exponent and built-in multifractal properties. For the cases we investigate we find that the correlation exponent of the magnitude series, $|x_{i+1}-x_i|$, is a monotonically increasing function of the multifractal spectrum width of the original series.
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