The Distribution of Product Random Stochastic Matrices:By Dirichlet Distribution

Following the study of the concept of averaging dynamics, the well-known conceptof multiplication of random matrices has been frequently investigated in the formof specific assumptions. In this paper, we argument the distributional properties ofproduct of random stochastic matrices by using the Dirichlet distribution. In thefollowing, we will answer the raised questions posted at the conclusion of two separatearticles related to real lifetime and solving some differential equations and generalizesome of the results obtained.