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International mathematical journal of analysis and its applications

Editor-in-Chief: Schulz, Friedmar

4 Issues per year

Cite Score 2016: 0.65

SCImago Journal Rank (SJR) 2016: 0.125
Source Normalized Impact per Paper (SNIP) 2016: 3.360

Mathematical Citation Quotient (MCQ) 2016: 0.34

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Volume 28, Issue 3


Infinitesimal resistance metrics on Sierpinski gasket type fractals

Mihai Cucuringu / Robert S. Strichartz
Published Online: 2009-09-25 | DOI: https://doi.org/10.1524/anly.2008.0917

We prove the existence of an infinitesimal resistance metric on the Sierpinski gasket (SG) at boundary points, junction points and periodic points. This is a renormalized limit of the effective resistance metric as we zoom in on the point, and satisfies a self-similar identity. We obtain similar results on PCF fractals with three boundary points.

Key words and phrases: Sierpinski gasket; analysis on fractals; effective resistance metric

About the article

Received: 2006-06-29

Published Online: 2009-09-25

Published in Print: 2008-07-01

Citation Information: Analysis, Volume 28, Issue 3, Pages 319–331, ISSN (Online) 2196-6753, ISSN (Print) 0174-4747, DOI: https://doi.org/10.1524/anly.2008.0917.

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