Dynamics and topology of S-gap shifts

详细信息    查看全文

• 作者：Dawoud Ahmadi Dastjerdi ; ^{ahmadi@guilan.ac.ir} ; Somaye Jangjoo ^{jangjoo@guilan.ac.ir}
• 关键词：37B10 ; 37Bxx ; 54H20 ; 37B40
• 刊名：Topology and its Applications
• 出版年：2012
• 出版时间：15 June-1 July, 2012
• 年：2012
• 卷：159
• 期：10-11
• 页码：2654-2661
• 全文大小：183 K

文摘

Let and let and where . In this note, we show that an S-gap shift is subshift of finite type (SFT) if and only if S is finite or cofinite, is almost-finite-type (AFT) if and only if is eventually constant and is sofic if and only if is eventually periodic. We also show that there is a one-to-one correspondence between the set of all S-gap shifts and up to conjugacy. This enables us to induce a topology and measure structure on the set of all S-gaps. By using this, we give the frequency of certain S-gap shifts with respect to their dynamical properties.