On the Hierarchical Ergodicity Coefficient Year: 2013 Volume: 7 Issue: 1 187 - 190 Pages Authors: Yilun Shang Abstract: In this paper, we deal with the fundamental concepts and properties of ergodicity coefficients in a hierarchical sense by making use of partition. Moreover, we establish a hierarchial Hajnal’s inequality improving some previous results. Keywords: Stochastic matrix ergodicity coefficient partition.