Continuous orbit equivalence of topological Markov shifts and dynamical zeta functions
Continuous orbit equivalence of topological Markov shifts and dynamical zeta functions
复制标题
拓扑马尔可夫位移和动力学 zeta 函数的连续轨道等价
DOI：
10.1017/etds.2014.128
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发表时间：
2016
影响因子：
0.9
通讯作者：
Kengo Matsumoto and Hiroki Matui
中科院分区：
文献类型：
--
作者：
Kengo Matsumoto and Hiroki Matui;Kengo Matsumoto and Hiroki Matui
对于连续轨道等价的单侧拓扑马尔可夫移位。我们还表明，连续轨道等价的上循环函数产生的正元素，其有序上同调群，使连续轨道等价的拓扑马尔可夫位移的zeta函数有关。证明了Borel测度集在单侧拓扑Markov位移的连续轨道等价下是不变的。
For continuously orbit equivalent one-sided topological Markov shifts . We also show that the cocycle functions for the continuous orbit equivalences give rise to positive elements of their ordered cohomology groups, so that the zeta functions of continuously orbit equivalent topological Markov shifts are related. The set of Borel measures is shown to be invariant under continuous orbit equivalence of one-sided topological Markov shifts.