2 research outputs found
An analogue of topological sequence entropy for Markov hom tree-shifts
Abstract
In this article, an analogue of topological sequence entropy is defined for Markov hom tree-shifts. We explore various aspects of , including the existence of the limit in the definition, its relationship to topological entropy, a full characterization of null systems (with zero for any ), and the upper bound as well as denseness of all possible values. The relationship between this quantity and a variant called induced entropy is also breifly discussed