Extremal ergodic measures and the finiteness property of matrix semigroups

Xiongping Dai, Yu Huang, Mingqing Xiao

Let $\bS=\{S_1,...,S_K\}$ be a finite set of complex $d\times d$ matrices and ${\Sigma }_K^{+}$ the compact space of all one-sided infinite sequences $i_{\bcdot}\colon\mathbb{N}\ri…