Year: 2026
Type: preprint
Abstract: We show that the Hausdorff dimension of a Bedford-McMullen carpet with non-uniform fibres can be lowered with a quasisymmetry, provided that the defining iterated function system does not have a full column. We prove this by constructing explicit dimension lowering metrics which are quasisymmetrically equivalent to the Euclidean metric.
Source: arXiv (Cornell University)
Author: Anttila, Roope
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225197898