A Brief Overview of Multifractal Time Series

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Cardiac Dynamics

Luís Amaral

In the Exploring Patterns in Nature tutorials, we observed how disordered, irregular, fractal patterns can be quantified in terms of their spatial fractal dimension. Here we study fractal (and multifractal) patterns of a different sort: patterns in time.

This overview attempts to give a short operational review of multifractality in time series. For this reason, formal definitions and derivations are not discussed; see Refs. 1-4 for more in-depth reviews.

Software for multifractal analysis of time series is available here.