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Resistance in higher-dimensional Sierpiński carpets

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Publication:1349065
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DOI10.1023/A:1014035414658zbMath0992.60009OpenAlexW163181560MaRDI QIDQ1349065

I. McGillivray

Publication date: 21 May 2002

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1014035414658


zbMATH Keywords

recurrenceSierpinski carpetselectrical resistanceresistance scaling factor


Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Probability theory on algebraic and topological structures (60B99)


Related Items (8)

Comparison of quenched and annealed invariance principles for random conductance model ⋮ Resistance scaling on \(4N\)-carpets ⋮ On the domains of Dirichlet forms on metric measure spaces ⋮ Uniqueness of locally symmetric Brownian motion on Laakso spaces ⋮ Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions ⋮ On singularity of energy measures on self-similar sets ⋮ Entropic repulsion of Gaussian free field on high-dimensional Sierpinski carpet graphs ⋮ Local and non-local Dirichlet forms on the Sierpiński carpet






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