一类船坞移位子移位的Zeta函数

2016 Fourth International Symposium on Computing and Networking (CANDAR) Pub Date : 2016-11-01 DOI:10.1109/CANDAR.2016.0054

Takao Namiki, K. Saito

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引用次数: 1

摘要

具有保守律的一维元胞自动机规则在其吸引子上经常表现出唯一行为。为了描述动力学，我们必须知道吸引子的结构。一般来说，吸引子在一定的限制下变成Dyck位移。如果子位移的zeta函数是已知的，就可以得到周期构型的信息。本文给出了带有2N个符号的Dyck位移的zeta函数及其约束条件。

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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Zeta Function of a Class of Subshifts of Dyck Shift

One-dimensional cellular automaton rule with conservative law frequently shows unique behavior on its attractor. To characterize the dynamics we have to know the structure of the attractor. In general, the attractor becomes Dyck shift with some restriction. If zeta function of the subshift is known, information on periodic configurations could be retreaved. In the present paper zeta function of Dyck shifts with 2N symbols and their restriction is given.

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2016 Fourth International Symposium on Computing and Networking (CANDAR)

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