A practical method to experimentally evaluate the Hausdorff dimension: An alternative phase-transition-based methodology

DOI10.1063/1.1803435zbMath1080.37019OpenAlexW2013756959WikidataQ81070565 ScholiaQ81070565MaRDI QIDQ5705453

Jun Li, Fahima Nekka, Alain Arneodo

Publication date: 8 November 2005

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1803435

Mathematics Subject Classification ID

Fractals (28A80) Dimension theory of smooth dynamical systems (37C45) Approximation methods and numerical treatment of dynamical systems (37M99)

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Cites Work

• Measuring the strangeness of strange attractors
• Statistical description of chaotic attractors: the dimension function
• Intersection of triadic Cantor sets with their translates. II: Hausdorff measure spectrum function and its introduction for the classification of Cantor sets
• Intersection of triadic Cantor sets with their translates. I: Fundamental properties
• On the sum of digits of real numbers represented in the dyadic system. (On sets of fractional dimensions II.)
• Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.
• Relationship between the fractal dimension and the power law index for a time series: A numerical investigation
• ABSENCE OF 1/f SPECTRA IN DOW JONES DAILY AVERAGE
• FRACTAL SURFACES: MEASUREMENT AND APPLICATIONS IN THE EARTH SCIENCES

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