Boltzmann and the statistical multifractals

DOI10.2478/AMNS.2019.1.00007OpenAlexW2954696485WikidataQ127598187 ScholiaQ127598187MaRDI QIDQ2690824

Yanyan Li

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amns.2019.1.00007

zbMATH Keywords

Hausdorff dimensionpointwise dimensionBoltzmann's formulationstatistical multifractals

Mathematics Subject Classification ID

Fractals (28A80) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

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• Hausdorff dimension in probability theory. I, II
• Fractal measures and their singularities: The characterization of strange sets
• Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrier
• THE FRACTIONAL DIMENSION OF A SET DEFINED BY DECIMAL PROPERTIES

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