Subshifts of quasi-finite type
Subshifts of quasi-finite type
复制标题
准有限型子移
DOI：
10.1007/s00222-004-0392-1
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发表时间：
2003
影响因子：
3.1
通讯作者：
J. Buzzi
中科院分区：
文献类型：
--
作者：
J. Buzzi
本文引入拟有限型子移位作为有限型子移位的推广。这种推广不那么严格，因此包含了许多非均匀系统的符号动力学，例如，正熵区间上的分段单调映射。但仍有许多财产：最大熵的多个遍历不变概率的存在性;大量的周期点; Artin-Mazur zeta函数的亚纯延拓。
We introduce subshifts of quasi-finite type as a generalization of the well-known subshifts of finite type. This generalization is much less rigid and therefore contains the symbolic dynamics of many non-uniform systems, e.g., piecewise monotonic maps of the interval with positive entropy. Yet many properties remain: existence of finitely many ergodic invariant probabilities of maximum entropy; lots of periodic points; meromorphic extension of the Artin-Mazur zeta function.