Work

Whether $p$-conductive homogeneity holds depends on $p$

Year: 2024

Type: article

Abstract: We introduce two fractals, in Euclidean spaces of dimension two and three, respectively, such that the 2 -conductive homogeneity holds but there is some \varepsilon\in (0, 1) so that the p -conductive homogeneity fails for every p\in (1, 1+\varepsilon) . In addition, these two fractals have Ahlfors regular conformal dimension within the interval (1, 2) and (2, 3) , respectively.

Source: Journal of Fractal Geometry Mathematics of Fractals and Related Topics

DOI: 10.4171/jfg/156

Authors: Shiping Cao, Zhen-Qing Chen

Institution: University of Washington

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4403769775

FWCI: 0.768

Cites:

Cited by: 1

Related to: 10