The Entropy of Cantor--like measures

Kathryn E. Hare, Kevin G. Hare, Brian P. M. Morris +1

By a Cantor-like measure we mean the unique self-similar probability measure $\mu$ satisfying $\mu ={\sum }_{i=0}^{m-1}{p}_i\mu \circ S_i^{-1}$ where $% S_{i}(x)=\frac{x}{d}+\frac{i}{d}\cdo…