Distribution of $\delta$-connected components of self-affine sponge of Lalley-Gatzouras type

Yanfang Zhang, Yongqiang Yang

Let $(E,\rho )$ be a metric space and let $h_E\left(\delta \right)$ be the cardinality of the set of $\delta$-connected components of $E$. In literature, in case of that $E$ is a self-conformal…