Local Scaling and Dimension Distortion of Generalized Cantor Functions

Yuanzhe Shi, Zhantu Yang, Jun Jason Luo

Let \(μ\) be a self-similar Cantor measure on \(\mathbb R\) associated with a probability weight vector \(\mathbf p\), let \(K=\operatorname{supp}μ\), and let \(F\) denote the dist…