Stationary Probability Vectors of the Second Order Markov Chains.

The stationary probability vectors of a second order Markov chain on the (n-1)- dimensional standard simplex are considered. In 2015, Li and Zhang gave a characterization of the second order Markov chain such that every vector in the simplex is a stationary vector. A modification of the characterization is presented in the paper. Some sufficient conditions are derived for any facet of the simplex such that every vector of the facet is a stationary vector. [ABSTRACT FROM AUTHOR]