**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31249

##### On the Hierarchical Ergodicity Coefficient

**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:**
partition,
stochastic matrix,
ergodicity coefficient

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1089411

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