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
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.