2 papers
math.MG2025
When the conformal dimension of a self-affine sponge of Lalley-Gatzouras type is zero
Yanfang Zhang, Shu-Qin Zhang
It is well known that if a metric space is uniformly disconnected, then its conformal dimension is zero. First, we characterize when a self-affine sponge of Lalley-Gatzouras type i…
math.DS2025
Strict Hölder equivalence of self-similar sets
Yanfang Zhang, Xinhui Liu
The study of Lipschitz equivalence of fractals is a very active topic in recent years. It is natural to ask when two fractal sets are strictly Hölder equivalent. In the present pap…