符号动力系统中移位映射的熵

Entropy of the Shift Map in Symbol Dynamical Systems

证明了符号动力系统的拓扑熵,并将符号动力系统与概率测度空间结合起来,再结合有关定义得出了Bernoulli移位映射和Markov移位映射的熵的表达式,还得出了二周期分段函数的熵,且让普通的移位映射的熵的结果成为二周期分段函数熵的一个特殊情况.

The entropy of symbol dynamical systems is proved, combine probability measure space with symbol dynamical systems, the entropy of Bernoulli map and Markov map is worked out, and got the entropy of the Tent function, and the entropy of the common shift map become a special.