Whether -conductive homogeneity holds depends on

  • Shiping Cao

    University of Washington, Seattle, USA
  • Zhen-Qing Chen

    University of Washington, Seattle, USA
Whether $p$-conductive homogeneity holds depends on $p$ cover
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Abstract

We introduce two fractals, in Euclidean spaces of dimension two and three, respectively, such that the -conductive homogeneity holds but there is some so that the -conductive homogeneity fails for every . In addition, these two fractals have Ahlfors regular conformal dimension within the interval and , respectively.

Cite this article

Shiping Cao, Zhen-Qing Chen, Whether -conductive homogeneity holds depends on . J. Fractal Geom. 12 (2025), no. 1/2, pp. 93–104

DOI 10.4171/JFG/156