Textile systems for endomorphisms and automorphisms of the shift
Textile systems for endomorphisms and automorphisms of the shift
复制标题
移位的自同构和自同构的纺织系统
DOI：
10.1090/memo/0546
复制
发表时间：
1995
影响因子：
1.9
通讯作者：
Masakazu Nasu
中科院分区：
文献类型：
--
作者：
Masakazu Nasu
符号动力学的一个主要课题是分析由子移位的自同态和自同构定义的动力系统。这包括一维元胞自动机的动力学行为的分析作为一个特殊的情况。在这项工作中，纳苏介绍了纺织系统的概念，这是有用的分析动力系统定义的自同态和自同构的拓扑马尔可夫移位，包括单边的。研究了sofic系统自同构的动力学性质。需要很少的先决条件，这项工作将呼吁不仅在符号动力学的专家，但也有兴趣在符号动力学和那些有兴趣在分析元胞自动机的动力学行为的非专业人士。
One of the major topics in symbolic dynamics is the analysis of the dynamical systems defined by endomorphisms and automorphisms of subshifts. This includes analysis of the dynamical behavior of one-dimensional cellular automata as a special case. In this work, Nasu introduces the notion of a textile system, which is useful in analysing the dynamical systems defined by endomorphisms and automorphisms of topological Markov shifts, including one-sided ones. The dynamical properties of automorphisms of sofic systems are also studied. Requiring few prerequisites, this work will appeal not only to specialists in symbolic dynamics but also to nonspecialists interested in symbolic dynamics and those interested in analysis of the dynamical behavior of cellular automata.