Whether -conductive homogeneity holds depends on
Shiping Cao
University of Washington, Seattle, USAZhen-Qing Chen
University of Washington, Seattle, USA

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