Minimal amenable subshift with full mean topological dimension

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED

Nonlinearity Pub Date : 2024-09-16 DOI:10.1088/1361-6544/ad7807

Zhengyu Yin and Zubiao Xiao

引用次数: 0

Abstract

Let G be an infinite countable amenable group and P a polyhedron with the topological dimension . We construct a minimal subshift (X, G) of such that its mean topological dimension is equal to . This result answers the question of Dou (2017 Discrete Contin. Dyn. Syst.37 1411–24). Moreover, it extends the work of Jin and Qiao (2023 arXiv:2102.10339) for -action.

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具有全平均拓扑维度的最小可处理子移位

设 G 是一个无限可数的可配位群，P 是一个拓扑维度为的多面体。我们构造一个最小子移位（X，G），使得它的平均拓扑维度等于。这个结果回答了 Dou（2017 Discrete Contin. Dyn. Syst.37 1411-24）的问题。此外，它还扩展了 Jin 和 Qiao（2023 arXiv:2102.10339）关于 - 作用的工作。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinearity 物理-物理：数学物理

CiteScore

3.00

自引率

5.90%

发文量

170

审稿时长

12 months

期刊介绍： Aimed primarily at mathematicians and physicists interested in research on nonlinear phenomena, the journal''s coverage ranges from proofs of important theorems to papers presenting ideas, conjectures and numerical or physical experiments of significant physical and mathematical interest. Subject coverage: The journal publishes papers on nonlinear mathematics, mathematical physics, experimental physics, theoretical physics and other areas in the sciences where nonlinear phenomena are of fundamental importance. A more detailed indication is given by the subject interests of the Editorial Board members, which are listed in every issue of the journal. Due to the broad scope of Nonlinearity, and in order to make all papers published in the journal accessible to its wide readership, authors are required to provide sufficient introductory material in their paper. This material should contain enough detail and background information to place their research into context and to make it understandable to scientists working on nonlinear phenomena. Nonlinearity is a journal of the Institute of Physics and the London Mathematical Society.