Scholarlink

In this chapter, we examine a few kinds of entropy of cellular automata (shortly, CAs) on the ring \(\mathbb {Z}_m\) in detail by first giving the measure-theoretic approaches and then the topological definitions. If the dimension of CA is greater than 1, then both the measure-theoretic and topological entropy are either zero or infinite [22], therefore we deal with only the entropy of 1D CAs.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Entropy of Linear CA over the Ring \({\mathbb {Z}_m}\)

  • 章节

  • 发表日期：

    2025年

查看全文
  • Hasan Akın

摘要

In this chapter, we examine a few kinds of entropy of cellular automata (shortly, CAs) on the ring \(\mathbb {Z}_m\) in detail by first giving the measure-theoretic approaches and then the topological definitions. If the dimension of CA is greater than 1, then both the measure-theoretic and topological entropy are either zero or infinite [22], therefore we deal with only the entropy of 1D CAs.