Hausdorff measure of sets of distributional chaotic pairs for shift maps

Dalian Yuan, Ercai Chen, Zijie Lin

Let ${\sigma }_K:{\sum }_K\to {\sum }_K$ be a shift map. For an interval $[p,q]\subset [0,1]$, let $D_{{\sigma }_K}([p,q])$ denote the set of pairs for which the density spectrum of the…