Polygonal Z2‐subshifts
Polygonal Z2‐subshifts
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多边形 Z2 子平移
DOI：
10.1112/plms.12313
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发表时间：
2020
影响因子：
1.8
通讯作者：
Kra, Bryna
中科院分区：
文献类型：
--
作者：
Franks, John;Kra, Bryna
设为一个凸多边形，其中每个顶点用有限集合中的一个元素进行标记，使得每个顶点的标记由该多边形中所有其他点的标记唯一地确定。我们引入了一类移位系统，即由这样一个多边形决定的多边形移位系统：这些移位系统使得对任何一个多边形的限制都具有这种性质。这些多边形系统与各种研究得很好的移位系统有关，包括有限类型的子移位和代数移位，但也有许多其他系统。借助于的非扩张子空间，我们给出了-系统是多边形的必要条件，并且在进一步的条件下可以给出这类系统的完全刻画。
Letbe a convex polygon with each vertex in it labeled by an element from a finite set and such that the labeling of each vertexis uniquely determined by the labeling of all other points in the polygon. We introduce a class of‐shift systems, thepolygonal shifts, determined by such a polygon: These are shift systems such that the restriction of anyto some polygonhas this property. These polygonal systems are related to various well‐studied classes of shift systems, including subshifts of finite type and algebraic shifts, but also many other systems. We give necessary conditions for a‐systemto be polygonal, in terms of the nonexpansive subspaces of, and under further conditions can give a complete characterization for such systems.