%0 Journal Article
%T Stationary Probability Vectors of Higher-order Markov Chains
%A Chi-Kwong Li
%A Shixiao Zhang
%J Mathematics
%D 2013
%I arXiv
%X We consider the higher-order Markov Chain, and characterize the second order Markov chains admitting every probability distribution vector as a stationary vector. The result is used to construct Markov chains of higher-order with the same property. We also study conditions under which the set of stationary vectors of the Markov chain has a certain affine dimension.
%U http://arxiv.org/abs/1303.3639v2