论文标题
从一维基本蜂窝自动机规则150出现的奇异函数
Singular function emerging from one-dimensional elementary cellular automaton Rule 150
论文作者
论文摘要
在本文中，我们在单位间隔上提供了一个单数函数，该单位间隔源自一维基本细胞自动机规则150的动态。我们描述了所得函数的属性，这些函数严格增加，均匀连续且几乎在任何地方都可以区分，并且我们在二型二元点上表明它在二合一的位点没有区别。我们还提供了功能满足功能的功能方程，并表明该函数是功能函数的唯一解决方案。
In this paper, we give a singular function on a unit interval derived from the dynamic of the one-dimensional elementary cellular automaton Rule 150. We describe properties of the resulting function, that is strictly increasing, uniformly continuous, and differentiable almost everywhere, and we show that it is not differentiable at dyadic rational points. We also give functional equations that the function satisfies, and show that the function is the only solution of the functional ones.
