论文标题

关于均质潜在井和大地流量的图灵普遍性的注释

A note on the Turing universality of homogeneous potential wells and geodesible flows

论文作者

Huynh, Khang Manh

论文摘要

我们探索了最初在(Tao 2017)中发现的强烈适应1形式的流量的某些特性,可用于将图灵机嵌入到动力学系统中。特别是,我们讨论了与测量流量的某些关系,并表明,即使对均匀性等动力学系统的略有修改也会导致适应性流和地理位置的流动之间的中间流,同时仍然保留Turing普遍性。

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.

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