
%0 Journal Article
%A Gani, J 
%T The Condition of Regularity in Simple Markov Chains
%J Australian Journal of Physics
%D 1956/09/01
%V 9
%N 3
%P 387-393
%K 
%R https://doi.org/10.1071/PH560387
%U https://www.publish.csiro.au/paper/PH560387 
%X The paper generalizes a proof, and outlines an alternative to it, for the well-known theorem on the conditions of regularity in a simple Markov chain; this is that the necessary and sufficient conditions for a chain to be regular are that the latent root 1 of the stochastic matrix for the chain must be simple, and the remaining roots have moduli less than 1. 
