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math.FA2024
Whether -conductive homogeneity holds depends on
Shiping Cao, Zhen-Qing Chen
We introduce two fractals, in Euclidean spaces of dimension two and three respectively, such the -conductive homogeneity holds but there is some $\eps \in (0, 1)$ so that the $p…
math.PR2024
Convergence of resistances on generalized {S}ierpiński carpets
Shiping Cao, Zhen-Qing Chen
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 gen…