论文标题

在双曲线群体上强烈的Aperiodic SFT:在哪里找到它们以及为什么我们爱它们

Strongly aperiodic SFTs on hyperbolic groups: where to find them and why we love them

论文作者

Rieck, Yo'av

论文摘要

D. B. Cohen,C。Goodman-Strauss,作者证明,当且最多只有一端时,双曲线群体就承认了一个“ Sa sft”。本文有两个不同的部分:第一个是一个对话,解释了SA SFT是什么以及它们的使用方式。在第二部分中,我试图解释证明的新旧思想。给出了原始论文中对特定主张的引用,希望任何有兴趣的读者能够在阅读此博览会后找到更容易访问的详细信息。

D. B. Cohen, C. Goodman-Strauss, and the author proved that a hyperbolic group admits an "SA SFT" if and only if it has at most one end. This paper has two distinct parts: the first is a conversation explaining what an SA SFT is and how they may be of use. In the second part I attempt to explain both old and new ideas that go into the proof. References to specific claims in the original paper are given, with the hope that any interested reader may be able to find the details there more accessible after reading this exposition.

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