Density spectrum of Cantor measure

Pieter Allaart, Derong Kong

Given $\rho \in (0,1/3]$, let $\mu$ be the Cantor measure satisfying $\mu =\frac{1}{2}\mu f_0^{-1}+\frac{1}{2}\mu f_1^{-1}$, where $f_i(x)=\rho x+i(1-\rho )$ for $i=0,1$. The support of $\mu$ is a Cantor…