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Convergence of resistances on generalized Sierpiński carpets

  • Shiping Cao

    The Chinese University of Hong Kong, P. R. China

  • Zhen-Qing Chen

    University of Washington, Seattle, USA
Convergence of resistances on generalized Sierpiński carpets cover

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Abstract

We positively answer the open question of Barlow and Bass about the convergence of renormalized effective resistance between opposite faces of Euclidean domains approximating a generalized Sierpiński carpet.

Cite this article

Shiping Cao, Zhen-Qing Chen, Convergence of resistances on generalized Sierpiński carpets. J. Eur. Math. Soc. (2026), published online first

DOI 10.4171/JEMS/1775