关于齐次势阱和测地流的图灵普适性的注记
A note on the Turing universality of homogeneous potential wells and geodesible flows
摘要：
我们探索了最初在（Tao 2017）中发现的具有强适应1-形式的流的一些性质，这些性质可用于将图灵机嵌入动力系统。特别是，我们讨论了一些关系到测地流，并表明，即使是轻微的修改的动力系统，如均匀性，可以导致一个中间类的流动之间的适应流和测地流，同时仍然保留图灵的普遍性。
英文摘要：
We explore some properties of flows with strongly adapted 1-forms, originally discovered in (Tao 2017), which can be used to embed Turing machines into dynamical systems. In particular, we discuss some relations to geodesible flows, and show that even a slight modification of the dynamical system, such as homogeneity, can lead to an intermediate class of flows between adapted flows and geodesible flows, while still retaining Turing universality.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
