拓扑Markov链具有完全正熵的充分条件

The Sufficient Conditions of the (Two-Sided) Topological Markov Chain with Completely Positive Entropy

讨论了双边拓扑Ｍａｒｋｏｖ链，并证明了它具有完全正熵的一个充分条件是决定双边拓扑Ｍａｒｋｏｖ链的矩阵为非周期的．由此。

In this paper, the two-sided topological Markov chain was discussed, and a sufficient condition of that with completely positive entropy is that the matrix determined the two-sided topological Markov chain is aperiodic was proved. Furthermore a series of sufficient conditions was obtained.