Laplacian and Effective Resistance Metric in Sierpinski Gasket Fractal

DOI10.1007/978-3-030-01120-8_15zbMath1498.28022OpenAlexW2913384242MaRDI QIDQ5038320

P. Uthayakumar, G. Jayalalitha

Publication date: 30 September 2022

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-01120-8_15

zbMATH Keywords

Hausdorff dimensionspectral dimensioneffective resistance metricSierpinski gasket fractalenergy renormalization factor

Mathematics Subject Classification ID

Fractals (28A80)

Cites Work

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• Effective resistance on graphs and the epidemic quasimetric
• A Hilbert space approach to effective resistance metric
• Electrical resistance of \(n\)-gasket fractal networks
• Harmonic analysis for resistance forms.
• On the resistance of the Sierpiński carpet
• Effective resistances for harmonic structures on p.c.f. self-similar sets

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