  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).
