Lower entropy factors of sofic systems
Lower entropy factors of sofic systems
复制标题
固体系统的较低熵因子
DOI：
10.1017/s0143385700002133
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发表时间：
1983
影响因子：
0.9
通讯作者：
Mike Boyle
中科院分区：
文献类型：
--
作者：
Mike Boyle
当且仅当S的任何周期点的周期可被T的某个周期点的周期整除时，满足该定理的混合子位移T被表征，满足克里格嵌入定理的混合子位移T也被表征。这些结果和其他结果都建立在将位移交换连续映射扩展为有限型混合子位移的一般方法上。
Abstract A mixing subshift of finite type T is a factor of a sofic shift S of greater entropy if and only if the period of any periodic point of S is divisible by the period of some periodic point of T. Mixing sofic shifts T satisfying this theorem are characterized, as are those mixing sofic shifts for which Krieger's Embedding Theorem holds. These and other results rest on a general method for extending shift-commuting continuous maps into mixing subshifts of finite type.