与格里戈丘克群相关的子移位的组合性质
动力系统
2017-11-29 v1
摘要
我们研究由描述格里戈丘克中间增长群的吕谢诺克生成元与关系表示的替换所诱导的子移位的组合性质。该子移位最近出现在两个不同的背景中：一方面，它使得将格里戈丘克群嵌入到一个拓扑全群中成为可能；另一方面，它在相关施赖埃尔图上的拉普拉斯算子的谱理论中是有用的。
引用
@article{arxiv.1711.10342,
title = {Combinatorics of the subshift associated to Grigorchuk's group},
author = {Rostislav Grigorchuk and Daniel Lenz and Tatiana Nagnibeda},
journal= {arXiv preprint arXiv:1711.10342},
year = {2017}
}
备注
8 pages; part of the material discussed in the paper was originally contained in (earlier versions of) arXiv:1510.00545 and arXiv:1412.6822. In their published versions the latter two articles do not contain this material anymore