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Fractal Analysis

Fractal Analysis quantifies the self-similar, scale-invariant complexity of geometric objects and time series through the fractal dimension D and the Hurst exponent H. Introduced systematically by Benoit Mandelbrot in his 1983 landmark work, the framework extends classical Euclidean geometry to irregular shapes found in nature, finance, physiology, and materials science. It provides a single dimensionless index that captures how completely a pattern fills space across multiple scales.

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Fractal Analysis (Fractal Dimension, Hurst Exponent)

Rekodi ya mbinu ya kiajenda · ml-model / complex-systems

Mandelbrot, B. B. (1983). The Fractal Geometry of Nature. W. H. Freeman. · ISBN 978-0-7167-1186-5

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Taxonomic bucketRecurrence Quantification Analysismachine-suggested · Relational suggestion, not evidence.Taxonomic bucketSample Entropymachine-suggested · Relational suggestion, not evidence.