A note on circulant transition matrices in Markov chains

摘要

Let g and n be positive integers and gcd(g, n) = 1. Let C = (c(ij)) be a g-circulant transition matrix of order n of Markov chain. We are interested in studying {C-k}(k =1)(infinity) and lim(k -> infinity) C-k. (c) 2008 Elsevier Inc. All rights reserved.