Shifts of finite type with nearly full entropy
Shifts of finite type with nearly full entropy
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具有近全熵的有限型位移
DOI：
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发表时间：
2013
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通讯作者：
R. Pavlov
中科院分区：
文献类型：
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作者：
R. Pavlov
对于任意固定的字母A，具有字母A的子移位的最大拓扑熵明显为log|一|.我们研究了拓扑熵非常接近这个最大值的最近邻有限型移位（SFTs），并证明了它们具有许多有用的性质。具体地说，我们证明了，对于任何d，存在βd，使得对于任何最近邻的具有字母A的SFT X，其中（log|一|）−h（X）
For any fixed alphabet A, the maximum topological entropy of a ℤd subshift with alphabet A is obviously log |A|. We study the class of nearest neighbor ℤd shifts of finite type (SFTs) which have topological entropy very close to this maximum, and show that they have many useful properties. Specifically, we prove that, for any d, there exists βd such that, for any nearest neighbor ℤd SFT X with alphabet A for which (log |A|)−h(X)