Quantifying the closeness of fractal measures
- 1 June 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 49 (6) , 5091-5097
- https://doi.org/10.1103/physreve.49.5091
Abstract
Numerically, fractal measures are represented by finite sets of discrete points, e.g., those generated by trajectories. We introduce a cross-correlation integral to evaluate the distinctness and overlap of two such sets, and present a criterion to determine up to what precision the two sets are realizations of the same measure.Keywords
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