Stochastic modelling of fractal diffusion and dimension estimation

DOI10.1016/J.PHYSA.2022.127624OpenAlexW4281781276MaRDI QIDQ2162205

František Gašpar, Jaromír Kukal

Publication date: 5 August 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2022.127624

zbMATH Keywords

spectral dimensiongraph representationwalk dimensiondiffusion modellingdimension estimationfractal substrate

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

• Determination of the walk dimension of the Sierpiński gasket without using diffusion
• On the resistance of the Sierpiński carpet
• Spectral dimension of a wire network
• Brownian Motion and Harmonic Analysis on Sierpinski Carpets
• Resistance scaling and random walk dimensions for finitely ramified Sierpinski carpets
• Resistance and spectral dimension of Sierpinski carpets
• Estimators of fractal dimension: assessing the roughness of time series and spatial data

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