Motivated by C*-algebra theory, ultragraph edge shift spaces generalize shifts of finite type to the infinite alphabet case. In this paper we study several notions of chaos for ultragraph shift spaces. More specifically, we show that Li-Yorke, Devaney and distributional chaos are equivalent conditions for ultragraph shift spaces, and characterize this condition in terms of a combinatorial property of the underlying ultragraph. Furthermore, we prove that such properties imply the existence of a compact, perfect set which is distributionally scrambled of type 1 in the ultragraph shift space (a result that is not known for a labelled edge shift (with the product topology) of an infinite graph).

受C *-代数理论的推动，超图边缘位移空间将有限类型的位移推广到无限字母的情况。在本文中，我们研究了有关超图移位空间的几种混沌概念。更具体地说，我们表明Li-Yorke，Devanney和分布混沌是超图移位空间的等效条件，并根据基础超图的组合特性来表征该条件。此外，我们证明了这样的性质意味着在超图移位空间中分布为1的紧凑完美集的存在（这是无限图的标记边缘移位（乘积拓扑）未知的结果） ）。