On the Continuous Singularity of the Limit Distribution of Products of I.I.D. d*d Stochastic Matrices

This article gives sufficient conditions for the limit distribution of products of i.i.d. d*d random stochastic matrices, d finite and >=2, to be continuous singular, when the support of the distribution of the individual random matrices is finite or countably infinite. Proofs are based on applications of the multivariate Central Limit Theorem.