Local dimensions of measures of finite type II - Measures without full support and with non-regular probabilities

Kathryn E. Hare, Kevin G. Hare, Michael Ka Shing Ng

Consider a sequence of linear contractions $S_j(x)=\varrho x+d_j$ and probabilities $p_j>0$ with $\sum p_j=1$. We are interested in the self-similar measure $μ=\sum p_{j}μ\…