Resistance in higher-dimensional Sierpiński carpets

I. McGillivray*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

9 Citations (Scopus)

Abstract

We study the effective resistance between disjoint compact sets relative to the n-th level approximation Fn to the generalized Sierpiński carpet in d dimensions. This yields a simple criterion for determining recurrence of simple random walk on the associated pre-fractal graph in terms of the resistance scaling factor.

Original languageEnglish
Pages (from-to)289-303
Number of pages15
JournalPotential Analysis
Volume16
Issue number3
DOIs
Publication statusPublished - 2002

Keywords

  • Electrical resistance
  • Recurrence
  • Resistance scaling factor
  • Sierpinski carpets

Fingerprint Dive into the research topics of 'Resistance in higher-dimensional Sierpiński carpets'. Together they form a unique fingerprint.

Cite this